Shalini’s age is four times the sum of the ages of her two sons. Six years hence, her age will be double the sum of their ages. What is Shalini’s present age?

Correct option is D

Given:

Shalini’s age is 4 itmes the sum of ages of her two sons

6 years hence her age will be double the sum of their ages

Solution:

Let the sum of sons’s age be x

Then Shalini’s age will be 4x

6 years later:

Sum of sons’ ages will be x+12

Shalini’s age will be 4x+6

And 4x+6=2(x+12)

4x+6 = 2x+24

2x= 18

x= 9 years

Shalini’s present age = 4x = 36years