Ages — present age from ratio and difference: Present ages of Kunal and Ganesh are in the ratio 3:5. Four years later Kunal will be 12 years younger than Ganesh. Find Kunal’s present age.

Difficulty: Easy

Correct Answer: None of these

Explanation:


Introduction / Context:
This problem mixes a present ratio with a future fixed difference. Translate both to equations and solve for the present ages.


Given Data / Assumptions:

  • Present Kunal:Ganesh = 3:5.
  • After 4 years: Kunal will be 12 years younger than Ganesh.


Concept / Approach:
Let K = 3x and G = 5x. Use the future difference to determine x and then K.


Step-by-Step Solution:

After 4 years: (K + 4) = (G + 4) − 12 ⇒ K = G − 12.With K = (3/5)G ⇒ (3/5)G = G − 12 ⇒ (2/5)G = 12 ⇒ G = 30.K = (3/5)*30 = 18.


Verification / Alternative check:

Four years later: K = 22, G = 34 ⇒ K is 12 younger than G ✓


Why Other Options Are Wrong:

  • 17, 19, 22 are not equal to 18, which satisfies the conditions.
  • Hence “None of these” is correct.


Common Pitfalls:

  • Using K = G + 12 by mistake.
  • Forgetting to apply the 4-year shift to both persons.


Final Answer:
None of these (Kunal is 18 years)

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