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Question

What is the ratio whose terms differ by 40 and the measure of which is 27?

A

16 : 56

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B

14 : 56

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C

15 : 56

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D

16 : 72

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Solution

The correct option is B: 16:56

Let the ratio be x : (x + 40). Then [ terms differ by 40]

xx + 40 = 27 [ Ratio of the two terms =27]

7x=2(x+40)

7x=2x+80

5x=80

x=16

Required ratio =16 : 56.


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