Noor is 8 years older than Umar. After 3 years, Umar will be one third as old as Noor. Find the present age of Umar?

Noor is 8 years older than Umar. After 3 years, Umar will be one third as old as Noor. Find the present age of Umar?

Explanation

Let's denote Umar's current age as x.

Noor's current age = x + 8

After 3 years:

Umar's age = x + 3

Noor's age = x + 8 + 3 = x + 11

According to the problem:

x + 3 = 1/3 * (x + 11)

3(x + 3) = x + 11

3x + 9 = x + 11

2x = 2

x = 1