Difficulty: Easy
Correct Answer: 9 years
Explanation:
Introduction / Context:
Find the time t such that future ages satisfy a multiplicative relation. Build and solve a linear equation in t.
Given Data / Assumptions:
Concept / Approach:
Set up the future-time equation and isolate t.
Step-by-Step Solution:
Verification / Alternative check:
After 9 years: father 50, son 25 ⇒ 50 = 2 × 25, holds.
Why Other Options Are Wrong:
10, 15, 19 do not satisfy the doubling condition when tested.
Common Pitfalls:
Applying 2× to present ages instead of future ages or forgetting to add t to both.
Final Answer:
9 years.
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