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.
Verbal Reasoning
Problems on Ages
Difficulty: Easy
Choose an option
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A17 years
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B19 years
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C22 years
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DNone of these
Answer
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)