The ratio of the present age of Mahesh and Ajay is respectively 3 : 2. After 8 years, ratio of their age will be 11 : 8. What will be the p…

Let present age of Mahesh is x years

Let present age of Ajay is y years

⇒ x : y = 3 : 2

⇒ 3y = 2x ---(i)

After 8 years

⇒ (x + 8) : (y + 8) = 11 : 8

⇒ 8x + 64 = 11y + 88

⇒ 8x = 11y + 24 ---(ii)

From eq (i) and (ii), we get,

⇒ y = 24

⇒ x = 36

∴ Age of Mahesh’s son = 24/2 = 12 years