Difficulty: Easy
Correct Answer: 25 yr
Explanation:
Introduction / Context:
This is a symmetric past–future linear relationship around the present age. Convert directly to a single linear equation in the present age x and solve.
Given Data / Assumptions:
Concept / Approach:
Expand, collect like terms, and isolate x; ensure the result is a realistic positive age.
Step-by-Step Solution:
Verification / Alternative check:
15 years ago: 10; in 15 years: 40 ⇒ 40 = 4 × 10, as required.
Why Other Options Are Wrong:
10, 15, 20 do not satisfy the equation x + 15 = 4(x − 15).
Common Pitfalls:
Using 4x = x + 30 (incorrect) or forgetting to distribute 4 across both terms in (x − 15).
Final Answer:
25 yr.
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