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The ratio between the present ages of M and N is 5 ∶ 8. If N is 6 years older than M, what will be the ratio of the ages of M and N after 6 years?
1. 8 ∶ 15
2. 8 ∶ 11
3. 16 ∶ 24
4. 17 ∶ 8

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Correct Answer - Option 2 : 8 ∶ 11

The ratio between the present ages of M and N = 5 ∶ 8

Let present age of M = 5x

Present age of N = 8x

According to Question:

Age of N = Age of M + 6

8x = 5x + 6

3x = 6

x = 2

So, the present age of M = 5x = 5 × 2 = 10 years

The present age of N = 8x = 8 × 2 = 16 years

After 6 years:

Age of M = 10 + 6 = 16 years

Age of N = 16 + 6 = 22 years

The ratio of the ages of M and N after 6 years = 16 : 22

= 8 : 11

Hence, "8 : 11" is the correct answer.

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