Difficulty: Easy
Correct Answer: 7 years
Explanation:
Introduction / Context:
This is structurally identical to a classic father–son linear ages problem with a future sum constraint. Translate to algebra and solve.
Given Data / Assumptions:
Concept / Approach:
Form 5x + 8 = 43 and solve for x; ensure non-negative integer age.
Step-by-Step Solution:
Verification / Alternative check:
Now: son 7, Deepak 28. After 4 years: 11 and 32; sum = 43, correct.
Why Other Options Are Wrong:
5, 8, 10 do not produce a future sum of 43 under the 4x relation.
Common Pitfalls:
Adding 4 to only one person or mishandling the sum equation.
Final Answer:
7 years.
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