Five years ago, Vinay's age was one-third of Vikas's age. Vinay is now 17 years old. What is Vikas's present age?

Difficulty: Easy

Correct Answer: 41 years

Explanation:


Introduction / Context:
A direct “years ago” ratio with one current age given. We work backward to the past and then forward for the other person's present age.


Given Data / Assumptions:

  • Vinay now = 17
  • 5 years ago: Vinay was one-third of Vikas


Concept / Approach:
Compute past ages first, use the ratio to get Vikas's past age, then add the elapsed time to get his present age.


Step-by-Step Solution:

Vinay 5 years ago = 17 − 5 = 1212 = (1/3) × (Vikas 5 years ago) ⇒ Vikas 5 years ago = 36Therefore Vikas now = 36 + 5 = 41


Verification / Alternative check:

Check: 5 years ago 41 − 5 = 36; Vinay 12 ⇒ 12 is one-third of 36 ✓


Why Other Options Are Wrong:

  • 36 is Vikas's age five years ago, not now.
  • 9 and 51 do not match the ratio and timeline.
  • None of these: 41 satisfies the condition.


Common Pitfalls:
Forgetting to add the elapsed 5 years back after using the past ratio; confusing one-third with one-fourth or other fractions.


Final Answer:
41 years

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