Question

ram is half of his fathers age.twenty years ago the age of father was six times age of ram.find age of ram and his father

Answer 1

Let the age of Ram’s father be x years
Hence age of Ram = (x/2) years
Age of Ram’s father 20 years ago = (x – 20) years
Ram’s age 20 years ago = (x/2) – 20 years
Hence (x – 20) = 6[(x/2) – 20]
⇒ x – 20 = 3x – 120
⇒ 120 – 20 = 3x – x
⇒ 100 = 2x
∴ x = 50
Hence Ram’s father age is 50 years
Ram’s age = (x/2) = 50/2 = 25 years