The ratio of the father's and son's age is 7 : 4. the product of their ages is 1008. The ratio of their ages after 6 years later will be?

Let father's and son's age be 7x and 4x respectively
∵ 28 x² = 1008
⇒ x² = 36
⇒ x = 6
∴ Father's age = 7x = 42 years
Son's age = 4x = 24 years
Father's age after 6 years later = 48 years
Son's age 6 years hence = 30 years
Required ratio = 48 : 30 = 8 : 5