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gemma2_9b_gsm8k_iter2_prompt

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[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'm'\n* We know Anika is 4/3 the age of Maddie, so Anika's current age is (4/3)m\n* We also know Anika is 30 years old, so (4/3)m = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n\n* We also know Anika is 30 years old, so (4/3)m = 30\n\n* To solve for 'm', multiply both sides of the equation by (3/4): \n m = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* If Anika is 4/3 the age of Maddie, let Maddie's age be represented by the variable 'x'.\n* Set up the equation: (4/3)x = 30\n* Solve for x: x = 30 * (3/4) = 22.5 years old" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by \"m\".\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* We're given that Anika is 30 years old, so (4/3)m = 30.\n\n* Solve for \"m\" by multiplying both sides of the equation by (3/4): \n m = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by the variable \"m\".\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* We also know Anika is 30 years old, so (4/3)m = 30\n\n* To solve for \"m\", multiply both sides of the equation by (3/4): \n m = 30 * (3/4) \n m = 22.5 \n\n* Therefore, Maddie is currently 22.5 years old." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'M'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)M.\n\n* We also know Anika is 30 years old, so (4/3)M = 30\n\n* To solve for M, multiply both sides of the equation by (3/4): \n M = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n1. **Find Maddie's current age:**\n\n * Since Anika is 4/3 the age of Maddie, let Maddie's current age be represented by 'x'.\n * Anika's age is (4/3) * x \n * We know Anika is 30 years old, so (4/3) * x = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* If Anika is 4/3 the age of Maddie, we can represent Maddie's age as (3/4) * Anika's age.\n* Maddie's current age is (3/4) * 30 = 22.5 years old." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age (a) is (4/3)m.\n* We also know Anika is 30 years old, so (4/3)m = 30.\n* Solve for 'm' by multiplying both sides of the equation by (3/4): \n m = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by the variable 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age (a) is (4/3)m.\n* We also know Anika is 30 years old, so (4/3)m = 30\n\n* Solve for 'm' by multiplying both sides of the equation by (3/4): \n m = 30 * (3/4) = 22.5\n\n* Therefore, Maddie is currently 22.5 years old." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'x'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)x.\n* We also know Anika is 30 years old, so (4/3)x = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* We also know Anika is 30 years old, so (4/3)m = 30\n\n* To solve for 'm', multiply both sides of the equation by 3/4: \n m = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n1. **Find Maddie's current age:**\n\n If Anika is 4/3 the age of Maddie, we can set up an equation: \n Anika's age = (4/3) * Maddie's age\n 30 = (4/3) * Maddie's age\n\n Solve for Maddie's age:\n Maddie's age = 30 * (3/4) = 22.5 years old" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'M'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)M.\n* We also know Anika is 30 years old, so (4/3)M = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'x'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)x.\n* Since Anika is 30 years old, we have the equation: (4/3)x = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by the variable \"M\".\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)M.\n* Since Anika is 30 years old, we have the equation (4/3)M = 30. \n* To solve for M, multiply both sides of the equation by (3/4): M = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'm'.\n* We know Anika is 4/3 times Maddie's age, so Anika's age (a) is (4/3)m." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n1. **Find Maddie's current age:** \n\n * Let Maddie's current age be 'm'.\n * We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n * We also know Anika is 30 years old, so (4/3)m = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by the variable 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* We also know Anika is 30 years old, so (4/3)m = 30." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* We also know Anika is 30 years old, so (4/3)m = 30.\n* To solve for 'm', multiply both sides of the equation by (3/4): \n m = 30 * (3/4) = 22.5\n\n* Therefore, Maddie is currently 22.5 years old." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by \"M\".\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)M.\n* We also know Anika is 30 years old, so (4/3)M = 30." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'm'.\n* We know Anika's age is 4/3 times Maddie's age, so Anika is (4/3)m years old.\n* We also know Anika is 30 years old, so (4/3)m = 30\n\n* To solve for 'm', multiply both sides of the equation by 3/4: \n m = 30 * (3/4) = 22.5 years old" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by the variable 'm'.\n* We know Anika (A) is 4/3 the age of Maddie: A = (4/3)m\n* We also know Anika is 30 years old: 30 = (4/3)m\n* Solve for 'm' by multiplying both sides by (3/4): m = 30 * (3/4) = 22.5 years old" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by *M*.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)*M." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be 'M'.\n* We know Anika is 4/3 times Maddie's age, so Anika's age is (4/3)M.\n* We're given that Anika is 30 years old, so (4/3)M = 30." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n\n* We also know Anika is 30 years old, so (4/3)m = 30\n\n* Solve for 'm':\n * Multiply both sides of the equation by 3/4: m = 30 * (3/4) \n * Simplify: m = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'x'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)x." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* We also know Anika is 30 years old, so (4/3)m = 30\n\n* To solve for 'm', multiply both sides of the equation by (3/4): m = 30 * (3/4) \n* This gives us m = 22.5. So, Maddie is currently 22.5 years old." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* Since Anika is 30 years old, we have the equation: (4/3)m = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be \"M\"\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)M\n\n* We also know Anika is 30 years old, so (4/3)M = 30\n\n* Solve for M: \n * Multiply both sides by (3/4): M = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be \"M\".\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)M.\n\n* We also know Anika is 30 years old, so (4/3)M = 30.\n* Multiply both sides by (3/4) to isolate M: M = 30 * (3/4) = 22.5 years old." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be 'M'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)M.\n* We also know Anika is 30 years old, so (4/3)M = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by \"m\".\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* We also know Anika is 30 years old, so (4/3)m = 30." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'M'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)M.\n* We also know Anika is 30 years old, so (4/3)M = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* If Anika is 4/3 the age of Maddie, let Maddie's age be 'x'.\n* Anika's age is then (4/3)x.\n* We know Anika is 30, so (4/3)x = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be 'x'\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)x.\n* We also know Anika is 30 years old, so (4/3)x = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'M'.\n* We know Anika is 4/3 times Maddie's age, so Anika's age is (4/3)M.\n* We also know Anika is 30 years old, so (4/3)M = 30\n\n* Multiply both sides of the equation by (3/4) to solve for M: \n M = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by \"M\".\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)M.\n* We also know Anika is 30 years old, so (4/3)M = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n\n* We are also given that Anika is 30 years old, so (4/3)m = 30\n\n* To solve for 'm', multiply both sides of the equation by (3/4): \n m = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Since Anika is 4/3 the age of Maddie, let Maddie's current age be represented by 'x'.\n* We know Anika is 30 years old, so: (4/3) * x = 30\n* To solve for x, multiply both sides of the equation by (3/4): x = 30 * (3/4)\n* x = 22.5 years old" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'm'.\n* We know Anika is 4/3 the age of Maddie, meaning Anika's age (30) is equal to (4/3) * m.\n* Set up the equation: (4/3) * m = 30\n* Solve for 'm':\n * Multiply both sides by (3/4): m = 30 * (3/4) \n * Simplify: m = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by \"M\".\n* We know Anika is 4/3 times Maddie's age, so Anika's age is (4/3)M.\n* We also know Anika is 30 years old, so (4/3)M = 30\n\n* To solve for M, multiply both sides of the equation by (3/4): \n M = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by \"M\".\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)M.\n* We also know Anika is 30 years old, so (4/3)M = 30." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'M'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)M.\n* We also know Anika is 30 years old, so (4/3)M = 30." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be \"m\".\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* We also know Anika is 30 years old, so (4/3)m = 30.\n* To find 'm', multiply both sides of the equation by (3/4): m = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* If Anika is 4/3 the age of Maddie, let Maddie's age be represented by 'x'.\n* We know Anika is 30, so: (4/3) * x = 30\n* Solve for x: x = 30 * (3/4) = 22.5. Maddie is currently 22.5 years old." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be 'x'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)x." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* If Anika is 4/3 the age of Maddie, let Maddie's current age be represented by 'x'.\n* We know Anika is 30 years old, so (4/3) * x = 30 \n* To solve for 'x', multiply both sides by (3/4): x = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* We also know Anika is 30 years old, so (4/3)m = 30.\n* To solve for 'm', multiply both sides of the equation by 3/4: \n m = 30 * (3/4) = 22.5 years old." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m. \n* Since Anika is 30, we have the equation: (4/3)m = 30\n\n* Solve for 'm':\n * Multiply both sides by (3/4) : m = 30 * (3/4)\n * m = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* If Anika is 4/3 the age of Maddie, let Maddie's current age be 'x'.\n* Anika's age = (4/3) * x \n* We know Anika is 30 years old, so (4/3) * x = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Anika is 30, and that's 4/3 of Maddie's age.\n* Let Maddie's current age be represented by 'M'. \n* We have the equation: (4/3) * M = 30\n* To solve for M, multiply both sides by (3/4): M = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be 'x'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)x.\n\n* We're also given that Anika is 30 years old, so (4/3)x = 30\n\n* To solve for x, multiply both sides of the equation by 3/4: \n x = 30 * (3/4) \n x = 22.5. So, Maddie is currently 22.5 years old." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* If Anika's age is 4/3 times Maddie's age, we can represent Maddie's age as a variable, let's say 'm'.\n* Anika's age is then (4/3)m.\n* We know Anika is 30 years old, so (4/3)m = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by \"M\".\n* We know Anika's age is 4/3 * M\n* Since Anika is 30, we have the equation: 4/3 * M = 30\n* To solve for M, multiply both sides by 3/4: M = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n\n* Since Anika is 30 years old, we have the equation: (4/3)m = 30\n\n* To solve for 'm', multiply both sides of the equation by (3/4): \n m = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by the variable 'm'. \n* We know Anika is 4/3 the age of Maddie, so Anika's current age is (4/3)m." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by \"M\".\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)M.\n* We also know Anika is 30 years old, so (4/3)M = 30.\n* To solve for M, multiply both sides of the equation by (3/4): M = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by \"m\".\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* Since Anika is 30 years old, we have the equation: (4/3)m = 30\n\n* Solve for m:\n * Multiply both sides by 3/4: m = 30 * (3/4) \n * Simplify: m = 22.5 years old" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'x'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)x.\n* We also know Anika is 30 years old, so (4/3)x = 30." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* Since Anika is 30 years old, we have the equation: (4/3)m = 30\n\n* Solve for 'm': \n * Multiply both sides by 3/4: m = 30 * (3/4)\n * Simplify: m = 22.5 years" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by \"m\".\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* Since Anika is 30 years old, we have the equation: (4/3)m = 30\n* To solve for \"m\", multiply both sides of the equation by 3/4: m = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by the variable 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* We also know Anika's age is 30, so (4/3)m = 30.\n* Solve for 'm' by multiplying both sides of the equation by 3/4: \n m = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'm'.\n* We know Anika (30) is 4/3 the age of Maddie, so: 30 = (4/3)m\n* Solve for 'm' by multiplying both sides by 3/4: m = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by \"m\".\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* We also know Anika is 30 years old, so (4/3)m = 30\n\n* Multiply both sides of the equation by (3/4) to isolate \"m\":\n m = 30 * (3/4) \n m = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by \"M\".\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)M.\n* We also know Anika is 30 years old, so (4/3)M = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'M'.\n* We know Anika is 4/3 the age of Maddie, so Anika is (4/3)M years old.\n* We also know Anika is 30 years old, so (4/3)M = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by \"M\".\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)M.\n\n* We also know Anika is 30 years old, so (4/3)M = 30.\n\n* To solve for M, multiply both sides of the equation by (3/4): \n M = 30 * (3/4) = 22.5 years old" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* If Anika is 4/3 the age of Maddie, let Maddie's age be represented by 'x'.\n* Anika's age = (4/3) * x\n* We know Anika is 30 years old, so (4/3) * x = 30\n* Multiply both sides by (3/4) to isolate x: x = 30 * (3/4) \n* x = 22.5 Therefore, Maddie is currently 22.5 years old." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by \"M\".\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)M.\n* We also know Anika is 30 years old. Therefore: (4/3)M = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* Since Anika is 30, we have the equation (4/3)m = 30.\n* Solve for 'm' by multiplying both sides by (3/4): m = 30 * (3/4) = 22.5." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* If Anika is 4/3 times Maddie's age, we can set up an equation: Anika's age = (4/3) * Maddie's age\n* Substitute Anika's age (30) into the equation: 30 = (4/3) * Maddie's age\n* Solve for Maddie's age: Maddie's age = 30 * (3/4) = 22.5 years old" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by the variable 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* We're given that Anika is 30 years old, so (4/3)m = 30.\n* To solve for 'm', multiply both sides of the equation by (3/4): m = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'M'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)M.\n* We also know Anika is 30 years old, so (4/3)M = 30.\n* To solve for M, multiply both sides of the equation by (3/4): \n M = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* If Anika's age (30) is 4/3 of Maddie's age, let Maddie's age be represented by 'x'.\n* Set up the equation: (4/3) * x = 30\n* Solve for x: x = 30 * (3/4) = 22.5. So, Maddie is currently 22.5 years old." ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by \"M\"\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)M\n* Since Anika is 30 years old, we have the equation: (4/3)M = 30\n* To solve for M, multiply both sides by (3/4): M = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by 'm'.\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* We also know Anika is 30 years old, so (4/3)m = 30.\n* Solve for 'm' by multiplying both sides by (3/4): m = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by \"M\"\n\n* We know Anika (30 years old) is 4/3 times Maddie's age: 30 = (4/3)M\n* To solve for M, multiply both sides of the equation by 3/4: (3/4) * 30 = M\n* M = 22.5 years old" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by the variable 'm'.\n* We know Anika's age is 4/3 times Maddie's age, so Anika's age is (4/3)m.\n* We also know Anika is 30 years old, so (4/3)m = 30" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve the problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* If Anika is 4/3 the age of Maddie, let Maddie's age be represented by the variable 'x'.\n* Anika's age = (4/3) * x\n* We know Anika is 30, so (4/3) * x = 30\n* Multiply both sides by (3/4) to isolate x: x = 30 * (3/4) = 22.5" ]

[ "<bos><start_of_turn>user\nAt 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?\nPlease reason step by step, and put your final answer within \\boxed{}.<end_of_turn>\n<start_of_turn>model\nHere's how to solve this problem step-by-step:\n\n**1. Find Maddie's current age:**\n\n* Let Maddie's current age be represented by \"m\".\n* We know Anika is 4/3 the age of Maddie, so Anika's age is (4/3)m.\n* We also know Anika is 30 years old, so (4/3)m = 30" ]