Multiple choice

The ratio of the ages of Ramesh and Suresh, four years ago was (4:5). Eight years hence, the ratio of the ages of Ramesh and Suresh will be (11:13). What is the ratio of their present ages?

  1. 9 : 11

  2. 11 : 9

  3. 7 : 8

  4. 8 : 7
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A Correct answer
Explanation

Let present ages be R and S. Four years ago: (R-4)/(S-4) = 4/5 → 5R - 4S = 4. Eight years hence: (R+8)/(S+8) = 11/13 → 13R - 11S = -16. Solving gives R = 36, S = 44. Present ratio = 36:44 = 9:11.

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