Rahul is currently thrice the age of his daughter. In 8 years, Rahul's age will be 5 years more than twice his daughter’s age. Find the present age of Rahul.

Correct option is D

Given:

Rahul’s age is three times the age of his daughter.

After 8 years, Rahul’s age will be 5 years more than twice his daughter’s age.

Solution:

Let R represent Rahul's present age.

Let D represent his daughter's present age.

From the first condition:

R = 3D(Equation 1)

From the second condition:

R + 8 = 2(D + 8) + 5(Equation 2)

Substitute R = 3D into R + 8 = 2(D + 8) + 5:

3D + 8 = 2(D + 8) + 5

3D + 8 = 2D + 16 + 5

3D + 8 = 2D + 21

3D - 2D = 21 - 8

D = 13

Thus, the daughter’s present age is 13 years

Rahul age  = 3D = 3 × 13 = 39 years