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id model_name task_name sample_id prompt_actual prompt_full gold_answer is_correct extracted_answers stop_reasons response_1
31 dsr-one-example-grpo_global_step_50 gsm8k_main(0) 30 Question: Darrell and Allen's ages are in the ratio of 7:11. If their total age now is 162, calculate Allen's age 10 years from now. Answer: <|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Output format: end your response with \boxed{<answer>} where <answer> is the final answer. Question: Darrell and Allen's ages are in the ratio of 7:11. If their total age now is 162, calculate Allen's age 10 years from now. Answer:<|im_end|> <|im_start|>assistant 109 1 [109] [stop:-] To solve this problem, we need to follow these steps: 1. **Determine the current ages of Darrell and Allen:** - Let Darrell's age be \( 7x \) and Allen's age be \( 11x \). - According to the problem, their total age is 162. Therefore, we can write the equation: \[ 7x + 11x = 162 \] - Simplify the equation: \[ 18x = 162 \] - Solve for \( x \): \[ x = \frac{162}{18} = 9 \] 2. **Calculate the current ages of Darrell and Allen:** - Darrell's current age: \[ 7x = 7 \times 9 = 63 \] - Allen's current age: \[ 11x = 11 \times 9 = 99 \] 3. **Determine Allen's age 10 years from now:** - Allen's age 10 years from now will be: \[ 99 + 10 = 109 \] Thus, the final answer is: \[ \boxed{109} \]
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