Multiple choice

The ratio of the present age of Randhir and Anurag is 14 : 13, the ratio of their ages 4 years ago was 12 : 11. Find the ratio between the age of Anurag and Randhir respectively after 4 years?

  1. $16 : 15$
  2. $15 : 16$
  3. $7 : 8$
  4. $8 : 7$

  5. None of these
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A Correct answer
Explanation

Let present ages be 14x and 13x. Four years ago: (14x-4)/(13x-4) = 12/11. Solving gives 154x-44 = 156x-48, so 2x = 4 and x = 2. After 4 years, ages will be 32 and 30, giving ratio 16:15. This is a standard age ratio problem requiring algebraic setup.

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