The sum of the ages of a father and a son is 45 years. Five years ago, the product of their ages was four times the father's age at that time. What are the present ages of father and son ?
The sum of the ages of a father and a son is 45 years,
F + S = 45 years.
Five years ago, the product of their ages was four times the father's age at that time
(F - 5) (S - 5) = 4 (F - 5)
By solving the above equations we get,
S = 9, 40.
If S = 40 then F will be 5 which is not possible. Hence, S = 9 and F = 36.
Hence, option c is the correct answer.
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