Question:
Kiran’s brother is 5 years older to her. Her father was 30 years old when Kiran’s sister was born, while her mother was 28 years old when Kiran was born. If Kiran’s sister was 2 years old when her brother was born, what was the age of their father when Kiran’s brother was born?
Kiran’s brother is 5 years older to her. Her father was 30 years old when Kiran’s sister was born, while her mother was 28 years old when Kiran was born. If Kiran’s sister was 2 years old when her brother was born, what was the age of their father when Kiran’s brother was born?
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Translate all statements into fixed \emph{age gaps}; add or subtract gaps to move between births, then shift the known parent’s age accordingly.
Updated On: Jul 15, 2026
- 32
- 34
- 37
- 30
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The Correct Option is A
Approach Solution - 1
Age gaps: Sister is 2 years older than Brother; Brother is 5 years older than Kiran. Hence Sister is $2+5=7$ years older than Kiran.
Father’s age when Sister was born $=30$. Therefore father’s age when Kiran was born $=30+7=37$.
Brother was born $5$ years before Kiran, so father’s age at Brother’s birth $=37-5=32$.
Father’s age when Sister was born $=30$. Therefore father’s age when Kiran was born $=30+7=37$.
Brother was born $5$ years before Kiran, so father’s age at Brother’s birth $=37-5=32$.
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Approach Solution -2
The question builds a chain of age gaps between Kiran, her brother, her sister, and their parents, and asks for the father's age when Kiran's brother was born. We can test each option as the father's age at the brother's birth and check it against the chain of facts.
- 32: If the father was 32 when the brother was born, then since the sister was born 2 years before the brother, the father was \( 32-2=30 \) when the sister was born, which matches the given fact exactly.
- 34: If the father was 34 when the brother was born, the father would have been \( 34-2=32 \) when the sister was born, which does not match the given age of 30.
- 37: If the father was 37 when the brother was born, the father would have been \( 37-2=35 \) when the sister was born, which does not match the given age of 30.
- 30: If the father was 30 when the brother was born, the father would have been \( 30-2=28 \) when the sister was born, which does not match the given age of 30 at the sister's birth.
Only a father's age of 32 at the brother's birth is consistent with the father being exactly 30 years old when the sister was born, 2 years earlier.
Therefore, the correct answer is 32.
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Approach Solution -3
We can verify each option by walking the age chain forward from the brother's birth through Kiran's birth to the sister's birth, and checking whether it lands back on the given fact that the father was exactly 30 when the sister was born.
- 32: If the father was 32 at the brother's birth, then since the brother is 5 years older than Kiran, the father was \( 32+5=37 \) at Kiran's birth; and since the sister is 2 years older than the brother, that is 7 years older than Kiran, the father was \( 37-7=30 \) at the sister's birth, matching the given fact exactly.
- 34: This gives the father's age at Kiran's birth as \( 34+5=39 \), and at the sister's birth as \( 39-7=32 \), which does not match the given 30.
- 37: This gives the father's age at Kiran's birth as \( 37+5=42 \), and at the sister's birth as \( 42-7=35 \), which does not match 30.
- 30: This gives the father's age at Kiran's birth as \( 30+5=35 \), and at the sister's birth as \( 35-7=28 \), which does not match 30.
Only a father's age of 32 at the brother's birth carries consistently through Kiran's birth to give exactly 30 at the sister's birth, as stated.
Therefore, the correct answer is 32.
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