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Two numbers are in the ratio 2 : 5. If 4 is subtracted from each, the ratio becomes 1 : 3. What is the larger number?

Competition practiceRatio, Proportion & Mixtures

A40
B16
C32
D45

Step-by-Step Solution

Let the numbers be

2 x

and

5 x . (2 x - 4) / (5 x - 4) = 1/3

gives

6 x - 12 = 5 x - 4

, so

x = 8

and the larger number is 40.

Answer: A) 40

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