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.