Three numbers X, Y and Z are in the ratio 12 : 15 : 25. If twice the sum of these numbers is 614, the…
The ratio is 3 : 10. Write X = 12k, Y = 15k and Z = 25k. Then Y − X = 3k and Z − Y = 10k, so the ratio is 3k : 10k = 3 : 10 whatever the value of k; the total of 614 only…
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Three numbers X, Y and Z are in the ratio 12 : 15 : 25. If twice the sum of these numbers is 614, the ratio of the difference between Y and X to the difference between Z and Y is:
Answer and explanation
Correct answer C
The ratio is 3 : 10. Write X = 12k, Y = 15k and Z = 25k. Then Y − X = 3k and Z − Y = 10k, so the ratio is 3k : 10k = 3 : 10 whatever the value of k; the total of 614 only fixes k and does not change the ratio. The ratio 10 : 3 has the two differences the wrong way round.
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Common Management Admission Test (CMAT)