Twenty years ago, my age was one-third of my present age. What is my present age (in years)?

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:

  • Let present age = x years
  • x − 20 = x / 3


Concept / Approach:
Rearrange the linear equation to isolate x.


Step-by-Step Solution:

x − 20 = x/3 ⇒ 3x − 60 = x ⇒ 2x = 60 ⇒ x = 30


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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