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Question

The ratio of the ages of Rohan and Mohit is 4 : 5. If Mohit is 5 years older than Rohan, what is the age of Mohit?

The correct answer is

25 years

Let the ages of Rohan and Mohit be 4k and 5k years, so that their ratio is 4 : 5.

Mohit is 5 years older, so 5k – 4k = 5, giving k = 5.

Therefore Mohit's age = 5k = 5 × 5 = 25 years (and Rohan's age = 20 years).

Check: 20 : 25 = 4 : 5 and 25 – 20 = 5 years, so both given conditions are satisfied.

Hence, 25 years.

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