reasoning-gym/reasoning_gym/data/gsm_data/symbolic/0031.json
2025-01-30 23:51:31 -06:00

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{
"question": "Mia and Emma are currently 16 years apart in age. If Mia, who is younger than Emma, is 40 years old, what's the average of their ages?",
"answer": "If Mia is 40 years old, Emma is 40+16 = <<40+16=56>>56 years old.\nThe sum of their ages is 56+40 = <<56+40=96>>96 years\nThe average age of the two is 96/2 = <<96/2=48>>48 years\n#### 48",
"id_orig": 1277,
"id_shuffled": 31,
"question_annotated": "{name1,Mia} and {name2,Emma} are currently {age_diff,16} years apart in age. If {name1,Mia}, who is younger than {name2,Emma}, is {age1,40} years old, what's the average of their ages?\n\n#init:\n- name1, name2 = sample(names, 2)\n- $age_diff = range(5, 30)\n- $age1 = range(15, 75)\n\n#conditions:\n- is_int((2*age1 + age_diff) / 2)\n\n#answer: (2*age1 + age_diff) // 2",
"answer_annotated": "If {name1} is {age1} years old, {name2} is {age1}+{age_diff} = <<{age1}+{age_diff}={age1+age_diff}>>{age1+age_diff} years old.\nThe sum of their ages is {age1+age_diff}+{age1} = <<{age1+age_diff}+{age1}={2*age1+age_diff}>>{2*age1+age_diff} years\nThe average age of the two is {2*age1+age_diff}/2 = <<{2*age1+age_diff}/2={(2*age1+age_diff)//2}>>{(2*age1+age_diff)//2} years\n#### {(2*age1+age_diff)//2}"
}