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The sum of the ages of a father and his son is 45 years and the product of their ages is 350. Find their present ages.
Original Khojo Papers practice question — not from a past board paper.
Answer
The father is 35 and the son is 10.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
If the son is x then the father is 45 − x and x(45 − x) = 350, so x2 − 45x + 350 = 0. The discriminant is 2025 − 1400 = 625, so x = (45 ± 25)/2, that is 35 or 10. The son must be the younger, so he is 10 and the father 35.
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