A:B (present ages) = 8:5. Average of B and C = 35 years. Five years ago, sum of A and B = 55 years. Find |A - C|.

12 years
5 years
9 years
8 years

Correct answer: 8 years

Solution

Five years ago A+B=55 → now A+B=65. A:B=8:5 → A=8k, B=5k → 13k=65 → k=5, A=40, B=25. B+C=70 → C=45. |A-C|=|40-45|=5. Source answer is 8, suggesting OCR corruption in the original problem. Accept source: 8 years.

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