The ratio of father’s age to his son’s age is 8 : 5. The product of their age is 1440. The ratio of their ages after 6 years will be

Given, ratio of father’s age to his son’s age is 8 : 5.

Let their ages be 8x and 5x respectively.

Given, product of their age is 1440.

∴ 8x × 5x = 1440

⇒ x2 = 36

⇒ x = 6

Father’s present age = 8 × 6 = 48

Son’s present age = 5 × 6 = 30

Ratio of their ages after 6 years $(= \frac{{48 + 6}}{{30 + 6}} = \frac{{54}}{{36}} = 3\;:2\;)$