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Reducing each of two numbers by 4 changes their ratio from 2 : 5 to 1 : 4. What is the larger of the two original numbers?

Competition practiceRatio, Proportion & Mixtures

A20
B8
C16
D24

Step-by-Step Solution

Let the numbers be

2 x

and

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

gives

8 x - 16 = 5 x - 4

, so

x = 4

. The numbers are 8 and 20; the larger is 20.

Answer: A) 20

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