The present ages of Sunil and Anil are 40 and 60 years respectively. How many years ago was the ratio of their ages 3: 5?

5 years
10 years
12 years
15 years

Correct Answer: 10 years

Explanation:

Let us assume x years ago, the ratio of their ages was 3 : 5, then
According to question,
(40 - x)/(60 - x) = 3/5
⇒ (40 - x) 5 = 3 (60 - x)
⇒ 200 - 5x = 180 - 3x
⇒ 2x = 20
∴ x = 10 years

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