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ExamsIBPS POQuantitative Aptitude

The ages of A, B, and C together are 65 years. B is \(\tfrac{2}{3}\) of A, and C is 9 years older than A. Then, what is the ratio of the respective ages of C, A, and B?

  1. 15: 21: 7
  2. 30: 31: 14
  3. 30: 21: 12
  4. 30: 21: 14

Correct answer: 30: 21: 14

Solution

Let A = x. Then B = \(\tfrac{2}{3}x\) and C = x + 9. Using x + \(\tfrac{2}{3}x\) + (x + 9) = 65 gives x = 21. So C = 30, A = 21, and B = 14, giving the ratio 30:21:14.

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