A man’s age after 15 years will be four times his age 15 years ago. What is his present age?

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:

  • Let present age = x years
  • x + 15 = 4(x − 15)


Concept / Approach:
Expand, collect like terms, and isolate x; ensure the result is a realistic positive age.


Step-by-Step Solution:

x + 15 = 4x − 6015 + 60 = 4x − x ⇒ 75 = 3x ⇒ x = 25


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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