Question

The age of father is twice the age of his two children. After 20 years his age will be equal to the age of his children. Find the age of the father

Answer 1

#BAL

Let the present age (in year) of father and his two children be x, y and z yr, respectively.

Now by given condition,  x=2(y+z)                                                               …(i)

and after 20 yr, (x + 20) = (y + 20) + (z + 20)

⇒ y+z +40 = x +20

⇒ y + z = x – 20

On putting the value of (y + z) in Eq. (i) and get the present age of father

x =2(x -20) x

= 2x – 40 = 40

Hence, the father’s age is 40 yr.