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The ages of Mitali and Raj are in a ratio of 12 : 7. After 8 yrs, the ratio of their ages will be 4 : 3. What is the difference in their ages? 
1. 4 yrs
2. 5 yrs
3. 6 yrs
4. 7 yrs
5. 8 yrs

1 Answer

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Correct Answer - Option 2 : 5 yrs

Given:

The ages of Mitali and Raj are in a ratio = 12 : 7

After 8 years the ratio of their ages = 4 : 3

Calculation:

Let present age of Mitali = 12x

Let present age of Raj = 7x

⇒ (12x + 8)/(7x + 8) = 4/3

⇒ 36x + 24 = 28x + 32

⇒ 36x - 28x = 32 – 24

⇒ 8x = 8

⇒ x = 1

∴ Required Difference = 12x – 7x = 5x

= 5 × 1

= 5

the difference in their ages is 5.

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