Sumit is 3 times as old as his son. Five years later

• Linear Equations (C10)

Sumit is 3 times as old as his son. Five years later, he shall be two and a half times as old as his son. How old is Sumit at present ?

Answer

Let Son’s present age be x years.

Then, Sumit’s present age = 3x years.

∴ 5 Years later,

3x + 5 = 5/2 × (x + 5)

6x + 10 = 5x + 25

⇒ x = 15

∴ Sumit’s present age = 45 years.