Question

Sahil is twice as old as Sham. Five years ago, his age was three times Sham’s age. Find Sahil’s present age.

Answer 1

Given:

• Sahil's current age = Twice the current age of Sham
• Sahil's age five years ago = Three times the age of Sham five years ago

To find:

The present age of Sahil

Solution:

• Let Sham's age be = y
• Then, the current age of Sahil is = 2y

Five years ago:

• Sham's age five years ago = y - 5
• Then, Sahil's age five years ago = 3(y - 5)= 3y - 15

Sahil's current age = Sahil's age five years ago + 5

2y = (3y - 15) + 5

2y = 3y - 15 + 5

15 - 5 = 3y - 2y

10 = y ( Sham's current age)

Using the obtained value of y, we can calculate the current age of Sahil which we earlier assumed to be 2y.

2y = 2(10) = 20

Thus, Sahil's present age is 20 years.