Question

Rohit is now one-third of his father's age.After twelve years,the age of Rohit's father will be twice the age of rohit.Find their present ages.
please give the full explanation.​

Answer 1

Let age of Rohit's father be x.

Then, the age of Rohit will be x/3.

Then, according to the second part of the question, after 12 years, age of Rohit's father will be twice the age of Rohit.

Let current age of Rohit's father be x + 12

Let current age of Rohit be 12 + x/3

Hence, we can frame the equation -

(12 + x) = 2(12 + x/3)

12 + x = 24 + 2x/3

x - 2x/3 = 24 - 12

x/3 = 12

x = 36 years

Hence, the current age of Rohit's father is 12 + x

= 36 + 12

= 48 years

The current age of Rohit is 12 + x/3

= 12 + (36 ÷ 3)

= 12 + 12

= 24 years.