Difficulty: Easy
Correct Answer: 7 years
Explanation:
Introduction / Context:Ages problems often give a present-time multiplicative relation and a future/past sum or difference. Translate the words into linear equations and solve systematically.
Given Data / Assumptions:
Concept / Approach:Form a single linear equation from the future sum and solve for x. Validate against given constraints (ages positive, integers typically).
Step-by-Step Solution:
(x + 4) + (4x + 4) = 435x + 8 = 43 ⇒ 5x = 35 ⇒ x = 7Verification / Alternative check:Father now = 4x = 28. In 4 years: son 11, father 32; sum = 43, correct.
Why Other Options Are Wrong:5, 8, 10 produce future sums ≠ 43 under the 4x relationship.
Common Pitfalls:Adding 4 only once or forgetting to add 4 to both father and son in the future-sum equation.
Final Answer:7 years.
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