Exams › IBPS PO › Quantitative Aptitude
The present ages of A, B, and C are in the ratio 4:5:3. If after x years, the ages of A and B are in the ratio 5:6, and y years ago the ages of B and C were in the ratio 3:1, where y is 5 more than x, find the sum of the present ages of A, B, and C.
- 90
- 84
- 48
- 60
Correct answer: 60
Solution
Let present ages be 4k, 5k, and 3k. From the future ratio of A and B, \((4k+x)/(5k+x)=5/6\), and from the past ratio of B and C, \((5k-y)/(3k-y)=3/1\) with y = x+5. Solving gives k = 5, so the sum of present ages is 4k+5k+3k = 12k = 60.
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