Step-by-step Solution:

Quick Solution

The easiest way to solve this puzzle is to calculate everyone's age at the single point in time mentioned: "When Rajeev was born". At this moment, we can set Rajeev's age to 0 and find everyone else's age relative to that.

A Step-by-Step Deduction

1. Find the brother's age: The problem states the brother is 6 years older than Rajeev. So, when Rajeev was 0, his brother was 6 years old.
2. Find the father's age: At that same time, the father was 32 years older than the brother. So, the father's age was 6 + 32 = 38 years old.
3. Find the mother's age: The mother is 3 years younger than the father. So, her age was 38 - 3 = 35 years old.
4. Find the sister's age: Finally, the mother was 25 years older than the sister at that time. So, the sister's age was 35 - 25 = 10 years old.

Final Answer: Rajeev's sister was 10 years old when he was born.