The sum of the ages of the father and son is 45 years. Five years ago, the product of their ages was four times of the father's age at that time, then the present ages of the father and son respectively are .... and .... years.?

39, 6
35, 10
36, 9
40, 10

Correct Answer: 36, 9

Explanation:

Let son's present age be x years and father's age = (45 - x) years.
∵ (x - 5) (45 - x - 5) = 4 ( 45 - x - 5)
⇒ (40 - x) (x - 9) = 0
⇒ x = 9years
∴ The son's age = 9 years
Father's age = 45 - 9 = 36 years

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