Age of A : Age of B is 3 : 2. Ten years hence, the sum of their ages will be 80. What are their present ages?

Correct option is A

Given:

The ratio of the ages of A and B is 3 : 2.

Ten years hence, the sum of their ages will be 80 years.

Let the present age of A be 3x years and the present age of B be 2x years.

Solution:

Ten years hence, A's age will be (3x + 10) years and B's age will be (2x + 10) years.

According to the problem, the sum of their ages ten years hence will be 80 years.

So, (3x + 10) + (2x + 10) = 80

5x + 20 = 80

5x = 60

x = 12

A's present age = 3x = 3 × 12 = 36 years

B's present age = 2x = 2 × 12 = 24 years

A's present age is 36 years, and B's present age is 24 years.