Hema is the mother of Deeksha. 10 years ago, the age of Hema was 3 times the then age of Deeksha. After 10 years, Hema will be twice as old as Deeksha will then be. Find the present age (in years) of Deeksha.

Correct option is D

Given:

Hema is the mother of Deeksha.

10 years ago, Hema's age was 3 times Deeksha's age.

After 10 years, Hema's age will be twice Deeksha's age.

Solution:

Let H be Hema’s present age.

Let D be Deeksha’s present age.

10 years ago:

H - 10 = 3(D - 10)

H – 10 = 3D – 30

H = 3D - 20 ……..(1)

After 10 years:

H + 10 = 2(D + 10)

H+ 10 = 2D + 20

H = 2D + 10 ……….(2)

Equating both equations for H

3D - 20 = 2D + 10

3D - 2D = 10 + 20

D = 30

Thus, Deeksha's present age is 30 years.