The ratio of the present ages of P and Q is 5: 8. After 5 years. Q’s age will be 45 years. Six years ago. the age of P was:

Correct option is B

Given:

The ratio of the present ages of P and Q is 5:8.

After 5 years, Q’s age will be 45 years.

Solution:

Let the present age of P be 5x and the present age of Q be 8x, based on the ratio 5:8

Q’s age after 5 years = 8x + 5

Now,

8x + 5 = 45

8x = 45 – 5 = 40

x = 5

P’s age 6 years ago = 5x – 6 = 5(5) – 6 = 25 – 6 = 19

Thus, the age of P six years ago was 19 years.