Difficulty: Easy
Correct Answer: 30 years
Explanation:
Introduction / Context:
Translate a past fraction-of-present statement into an equation linking present age x and x − 20, then solve for x straightforwardly.
Given Data / Assumptions:
Concept / Approach:
Rearrange the linear equation to isolate x.
Step-by-Step Solution:
Verification / Alternative check:
Twenty years ago age = 10; 10 is one-third of 30, correct.
Why Other Options Are Wrong:
25, 35, 40 fail the one-third condition when tested.
Common Pitfalls:
Setting x − 20 = (1/3)(x − 20) instead of x/3; the comparison is with the present age, not past age.
Final Answer:
30 years.
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