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?

Correct option is A

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 x 2 + 6) = 18 years.
Hence, '18' is the correct answer.