The ratio of a man's age and his son's age is 7 : 3 and the product of their ages is 756. The ratio of their age after 6 years will be -

Question: The ratio of a man's age and his son's age is 7 : 3 and the product of their ages is 756. The ratio of their age after 6 years will be -

Solution:
Let, man's age be = 7x years
Then, son's age = 3x years

ATQ,
7x × 3x = 756
⇒ 21x² = 756
⇒ x² = 36
⇒x = 6

The ratio of their ages after 6 years = (7 × 6 + 6) : (3 × 6 + 6)
= 48 : 24
= 2 : 1