Family chain differences – Mahesh is 60. Ram is 5 years younger than Mahesh and 4 years older than Raju. Babu is 6 years younger than Raju. What is the age difference between Mahesh and Babu?
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A18 years
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B15 years
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C13 years
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D6 years
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E9 years
Answer
Correct Answer: 15 years
Explanation
Introduction / Context:This is a chain of differences problem: each relation links to the next person. Compute each person step by step and then take the required difference at the end.
Given Data / Assumptions:
- Mahesh = 60.
- Ram = Mahesh − 5 = 55.
- Ram is 4 years older than Raju ⇒ Raju = 55 − 4 = 51.
- Babu is 6 years younger than Raju ⇒ Babu = 51 − 6 = 45.
Concept / Approach:Apply the offsets sequentially and preserve signs. Then compare the endpoint with the start point to get the requested difference.
Step-by-Step Solution:Mahesh: 60.Ram: 55.Raju: 51.Babu: 45.Difference Mahesh − Babu = 60 − 45 = 15.
Verification / Alternative check:Trace the offsets in a single expression: 60 − 5 − 4 − 6 = 45 for Babu; difference 15.
Why Other Options Are Wrong:Other numbers misapply one of the offsets or reverse a sign.
Common Pitfalls:Reading “older than” as “younger than” by mistake or skipping one link in the chain.
Final Answer:15 years