Question

Anil is four times as old as his son. After 16 years , he will be twice as old as his son . Find his son’s present age.

Answer 1

Given :

• Anil is four times as old as his son. After 16 years , he will be twice as old as his son .

To find :

• Find his son’s present age.

Solution :

Let the present age of the son = x years.

Therefore, the present age of his father = 4x years.

So, after 16 years,

Son's age = (x + 16) and father's age = (4x + 16) years

According to question:

4x+ 16 = 2(x + 16)

4x + 16 = 2x + 32

Transposing 2x to LHS and 16 to RHS, we get

4x-2x = 32-16

2x= 16

Dividing both sides by 2, we get

= 2x/2

= 16/2

x= 8

So, the present age of the son

= X

= 8 years,

And the present age of the father

= 4x

= 4(8)

= 32 years