The present ages of A, B and C are in the ratio of (5 : 11 : 13) respectively. The present age of B, C and D are in the ratio of (22 : 25 : 23) respectively. Which of the following represents the ratio of the present ages of A, B, C and D respectively ?
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$8 : 22 : 14 : 33$
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$4 : 7 : 14 : 22$
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$8 : 14 : 22 : 33$
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Can't be determined
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$10 : 22 : 26 : 23$
D
Correct answer
Explanation
A:B:C = 5:11:13 and B:C:D = 22:25:23. B is 11 in first ratio and 22 in second (doubled). If B=22, then A=10 (5×2) and C=26 (13×2). But C in second ratio is 25. This is inconsistent (26 vs 25). Therefore, the ratios cannot be uniquely reconciled, and the answer cannot be determined.