Difficulty: Easy
Correct Answer: 5 years
Explanation:
Introduction / Context:
Two time-separated multiplicative relations allow a linear solution. Express the father's present age in terms of the son's age and apply the 10-year condition.
Given Data / Assumptions:
Concept / Approach:
Solve the single linear equation for S.
Step-by-Step Solution:
1) 4S + 10 = 2S + 20.2) 2S = 10 ⇒ S = 5.
Verification / Alternative check:
Now: father 20, son 5 (4×). In 10 years: father 30, son 15 (2×). Works perfectly.
Why Other Options Are Wrong:
They do not satisfy both multiplicative relations.
Common Pitfalls:
Forgetting to add 10 to both ages in the future condition.
Final Answer:
5 years
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