Multiple choice

Ratio of ages of Amit, Bhanu, Chandresh, Dharmendra and Gyanendra is 5:6:7:8:9. If sum of the ages of Bhanu, Chandresh and Dharmendra is 77 years more than the sum of ages of Amit and Gyanendra. What is the ratio of their ages after 12 years?

  1. 62:72:82:92:101

  2. 67:78:89:100:111

  3. 65:73:83:98:104

  4. 64:78:83:95:103

  5. 70:83:68:56:93
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B Correct answer
Explanation

Let ages be 5x, 6x, 7x, 8x, 9x. Sum of Bhanu, Chandresh, Dharmendra = 6x + 7x + 8x = 21x. Sum of Amit and Gyanendra = 5x + 9x = 14x. Given: 21x = 14x + 77, so 7x = 77, x = 11. Current ages: 55, 66, 77, 88, 99. After 12 years: 67, 78, 89, 100, 111. Ratio = 67:78:89:100:111.

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