The ratio of a father’s age to his son’s age is 3 : 2 The product of the numbers representing their age is 486. The ratio of their ages after 5 years will be:

32 : 23

ATQ,

Lets assume father's age is 3x and son's age is 2x

Given, Product of their ages ⇒ (3x) x (2x) = 486

                                         ⇒ 6x² = 486

                                         ⇒ x = 9

Father's age after 5 years = 32

Son's age after 5 years = 23

Ratio of ages of father and son = 32:23