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.

Question

Solve this multiple-choice question and choose the correct option.

Accepted Answer

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)

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.

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