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The ratio between the present ages of Ratan and Vinit is 7 : 15, respectively. 2 years from now Vinit’s age will become twice the age of Ratan. Find the difference between their ages 5 years ago? 
1. 15 years
2. 16 years
3. 18 years
4. 19 years
5. 20 years

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Correct Answer - Option 2 : 16 years

Calculations:

Let the present age of Ratan be 7x and Vinit be 15x.

∴ According to the question:

⇒ 15x + 2 = 2(7x + 2)

⇒ 15x + 2 = 14x + 4

⇒ x = 2

∴ required difference:

⇒ (15x – 5) – (7x – 5)

⇒ 8x - 0

⇒ 16

The difference between their ages 5 years ago is 16 years.

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