The ratio of the present ages of a son and his father is 1 : 5 and that of his mother and father is 4 : 5. After 2 years the ratio of the age of the son to that of his mother becomes 3 : 10. What is the present age of the father?

30 years
28 years
27 years
None of these

Correct Answer: None of these

Explanation:

∵ S / F = 1 / 5
⇒ F = 5 S, .....(i)
∵ M / F = 4 / 5
⇒ M = 4 / 5 F ....(ii)
∵ (S + 2) / (M + 2) = 3 / 10
⇒ 10S + 20 = 3M + 6 ....(iii)
From (i), (ii) and (iii)
⇒ (12 - 10)S = 20 - 6
⇒ 2S = 14
∴ S = 7 years
∴ F = 5S = 5 x 7 = 35 years.

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