Multiple choice

Eight years ago, the ratio of ages of A and B was 5:4. The ratio of their present ages is 6:5. What will be the sum (in years) of the ages of A and B after 7 years from now? आठ वर्ष पहले, A और B की आयु का अनुपात 5:4 था। उनकी वर्तमान आयु का अनुपात 6:5 है। अब से 7 वर्ष बाद A और B की आयु का योग (वर्षों में) क्या होगा?

  1. 90

  2. 112

  3. 102

  4. 80

  5. 85

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Eight years ago: (A-8)/(B-8) = 5/4, so 4A - 32 = 5B - 40. Currently: A/B = 6/5, so 5A = 6B. Solving: From second, B = 5A/6. Substituting: 4A - 32 = 5(5A/6) - 40, giving A = 48, B = 40. After 7 years: (48+7) + (40+7) = 55 + 47 = 102 years.