Six years ago the ratio of ages of P and Q was 6 : 5. Four years

| Six years ago the ratio of ages of P and Q was 6 : 5. Four years hence, it will be 11 : 10. What is the age of P now?

A. 18 years

B. 25 years

C. 20 years

D. 16 years

Please scroll down to see the correct answer and solution guide.

Let, the age of P and Q be measured in terms of ‘a’.

Six years ago the ratio of ages of P and Q was 6 : 5.

So, six years ago, P was 6a years old and Q was 5a years old.

Therefore, present age of P is (6a + 6) and present age of Q is (5a + 6).

Four years hence, it will be 11 : 10.

According to question:

[(6a + 6) + 4]/[(5a + 6) + 4] = 11/10

On solving, we get the value of a is 2.

So, the present age of P = (6a + 6) = (6 × 2 + 6) = 18 years.

Hence, ‘18’ is the correct answer.