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When 9 is subtracted from each of two numbers that are in the ratio 3 : 5, the new ratio is 1 : 2. What is the larger number?

Competition practiceRatio, Proportion & Mixtures

A45
B27
C36
D54

Step-by-Step Solution

Let the numbers be 3

k

and 5

k . (3 k - 9) / (5 k - 9) = 1/2

→

6 k - 18 = 5 k - 9

→

k = 9

. Larger number =

5 \times 9 = 45

.

Answer: A) 45

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