Family ages and birth-time ages: Ravi’s brother is 3 years older than Ravi. His father was 28 when his sister was born; his mother was 26 when Ravi was born. If the sister was 4 years old when the brother was born, find the father’s and mother’s ages respectively when the brother was born.
Verbal Reasoning
Problems on Ages
Difficulty: Medium
Choose an option
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A32 yr and 23 yr
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B32 yr and 29 yr
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C35 yr and 29 yr
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D35 yr and 33 yr
Answer
Correct Answer: 32 yr and 23 yr
Explanation
Introduction / Context:This timeline problem relates current ages with ages at births. Build ages relative to Ravi and then rewind to the brother’s birth to get the parents’ ages then.
Given Data / Assumptions:
- Brother is Ravi + 3.
- Sister is 4 years older than brother ⇒ Sister = Ravi + 7.
- Father was 28 when sister was born; mother was 26 when Ravi was born.
Concept / Approach:Express father and mother’s current ages in terms of Ravi’s current age R, then subtract the elapsed time back to brother’s birth.
Step-by-Step Solution:
Let R = Ravi now. Brother now = R + 3; Sister now = R + 7.Father now = Sister + 28 = (R + 7) + 28 = R + 35.Mother now = Ravi + 26 = R + 26.Brother’s birth was (R + 3) years ago.Father then = (R + 35) − (R + 3) = 32.Mother then = (R + 26) − (R + 3) = 23.Verification / Alternative check:
All conditions align when ages are reconstructed.Why Other Options Are Wrong:
- Other pairs do not satisfy both parent-birth offsets consistently.
Common Pitfalls:
- Adding instead of subtracting when going back to the birth event.
Final Answer:32 yr and 23 yr