Jayesh is as much younger than Anil as he is older than Prasant. If Anil’s age plus Prasant’s age is 48 years, find Jayesh’s present age.
Verbal Reasoning
Problems on Ages
Difficulty: Easy
Choose an option
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A20 years
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B24 years
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C30 years
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DCannot be determined
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ENone of these
Answer
Correct Answer: 24 years
Explanation
Introduction / Context:The statement “Jayesh is as much younger than Anil as he is older than Prasant” means Jayesh’s age lies exactly midway between Anil’s and Prasant’s ages. We use the midpoint idea with the given sum to compute Jayesh’s age.
Given Data / Assumptions:
- Ages: Anil = A, Prasant = P, Jayesh = J.
- Condition: A − J = J − P ⇒ J is the average of A and P.
- Sum: A + P = 48.
Concept / Approach:From A − J = J − P we get J = (A + P)/2. With A + P known, compute J directly.
Step-by-Step Solution:
Given A − J = J − P ⇒ 2J = A + P.A + P = 48 ⇒ 2J = 48 ⇒ J = 24.Verification / Alternative check:
Pick A = 30, P = 18 (sum 48). Then J = 24 satisfies A − J = 6 and J − P = 6.Why Other Options Are Wrong:
20 or 30 contradict the midpoint requirement for sum 48.“Cannot be determined” is incorrect since data suffice.Common Pitfalls:
Treating J as the difference or another ratio rather than the average.Ignoring that the sum directly pins J.Final Answer:24 years