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Two numbers are in the ratio 2 : 3. Adding 6 to each makes the ratio 5 : 7. What is the smaller number?

Competition practiceRatio, Proportion & Mixtures

A24
B36
C12
D18

Step-by-Step Solution

Let them be

2 x

and

3 x . (2 x + 6) / (3 x + 6) = 5/7

gives

14 x + 42 = 15 x + 30

, so

x = 12

. The smaller number is 24.

Answer: A) 24

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