Question

Radha’s age 4 years ago is 2 times Ramesh’s age 3 years hence. If the ratio of present age of Radha and Ramesh is 7 : 1. Find Ramesh age after 10 years.

1. 12 years
2. 15 years
3. 18 years
4. 20 years

Answer 1

Correct Answer - Option 1 : 12 years

Given:

Radha’s age 4 years ago is 2 times Ramesh’s age 3 years hence

And the ratio of the present age of Radha and Ramesh = 7 : 1

Calculation:

Let the present ages of Radha and Ramesh be 7x and x

Now (7x - 4) = 2(x + 3)

⇒ 7x - 4 = 2x + 6

⇒ 7x - 2x = 6 + 4

⇒ 5x = 10

⇒ x = 10/5

⇒ x = 2

Now Ramesh present age = x

⇒ 2 years

After ten years Ramesh age = 10 + 2

⇒ 12 years

∴ Ramesh age after 10 years is 12 years