# Discussion of Question with ID = 087 under Problems-on-Ages

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### Question

My father was 31 years old when I was born. My mother's age was 18 when my sister, who is 6 years younger to me, was born. What is the difference between the ages of my parents?

A

19 years.

B

20 years.

C

18 years.

D

21 years.

Soln.
Ans: a

If the age of my father is F, then my age is F - 31, so my younger sister's age is (F - 31) - 6, which is = F - 37. If my mother's age is M, then M = (my sister's age) + 18, i.e., M = (F - 37) + 18. We get F - M = 19 years.

This question can be solved directly also. The age of my father at the time of birth of my sister was 31 + 6 = 37. At the time my mother was 18 years. So the difference between their ages = 37 - 18 = 19 years.