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ExamsIBPS POQuantitative Aptitude

The ratio of the ages of A and B 12 years ago was 8:9, while the ratio of the ages of C and D after 8 years will be 25:29. If B is 10 years younger than C and the sum of the present ages of B and D is 82 years, then find the present age of D.

  1. 45
  2. 60
  3. 52
  4. 50

Correct answer: 50

Solution

Let present ages be A, B, C, and D. From the first ratio, A−12 : B−12 = 8:9, and from the second, C+8 : D+8 = 25:29. Using B = C − 10 and B + D = 82, solving the equations gives D = 50.

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