Multiple choice

The ages of Sonal and Nitya are in the ratio 9 : 5 respectively. After 8 years the ratio of their ages will be 13 : 9. What is the difference in years between their ages? सोनल और नित्य की आयु में अनुपात 9 : 5 है | 8 वर्षों बाद उनकी आयु में अनुपात 13 : 9 हो जाता है | उनकी आयु में अनुपात वर्षों में है

  1. 6 years/वर्ष

  2. 8 years/वर्ष

  3. 12 years/वर्ष

  4. 14 years/वर्ष
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Sonal's age = 9x, Nitya's age = 5x. After 8 years: (9x+8)/(5x+8) = 13/9. Cross-multiplying: 9(9x+8) = 13(5x+8), 81x + 72 = 65x + 104, 16x = 32, x = 2. Current ages: Sonal = 18, Nitya = 10. Difference = 8 years. The age difference remains constant over time, which provides a useful check: 18 - 10 = 8 years apart.

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