Multiple choice

The ratio of ages of Ajay and Naval is 2 : 3 respectively. 12 years hence the ratio of their ages will be 11 : 15. What is the Naval's present age ? अजय और नवल की आयु का अनुपात क्रमशः 2 : 3 है। 12 वर्ष पश्चात् उनकी आयु का अनुपात 11 : 15 होगा। नवल की वर्तमान आयु क्या है?

  1. 32 years 32 वर्ष

  2. 42 years 42 वर्ष

  3. 48 years 48 वर्ष

  4. 56 years 56 वर्ष

  5. None of these इनमें से कोई नहीं
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C Correct answer
Explanation

Let Ajay's age = 2x and Naval's age = 3x. After 12 years: (2x+12)/(3x+12) = 11/15. Cross-multiplying: 15(2x+12) = 11(3x+12), which gives 30x + 180 = 33x + 132. Solving: 3x = 48, so x = 16. Naval's present age = 3x = 3 × 16 = 48 years. Verification: Ajay = 32 years. After 12 years: Ajay = 44, Naval = 60. Ratio 44:60 = 11:15. The ratio checks out.

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