Question

The age of Ajay and Vijay are in the ratio of 7 : 5. If the difference between their age is 12 years, find the sum of their ages five years from now.

Options

• 72 years

• 82 years

• 80 years

• None of these

Answer 1

82 years

Explanation:

Let the present age of Ajay and Vijay be 7x and 5x respectively.

7x − 5x = 12

⇒ 2x = 12 and x = 6

Present age of Ajay 7 × 6 = 42 and that of Vijay = 5 × 6 = 30 years respectively.

Sum of their ages, five years from now = (42 + 5) + (30 + 5) = 47 + 35 = 82 years.