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### Question

My father was 25 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**

13 years.

**B**

14 years.

**C**

12 years.

**D**

15 years.

**Soln.**

**Ans: a**

If the age of my father is F, then my age is F - 25, so my younger sister's age is (F - 25) - 6, which is = F - 31. If my mother's age is M, then M = (my sister's age) + 18, i.e., M = (F - 31) + 18. We get F - M = 13 years.

This question can be solved directly also. The age of my father at the time of birth of my sister was 25 + 6 = 31. At the time my mother was 18 years. So the difference between their ages = 31 - 18 = 13 years.