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Two numbers are in the ratio 3 : 4 and their LCM is 84. Find the smaller number.

Competition practiceRatio, Proportion & Mixtures

A21
B28
C12
D24

Step-by-Step Solution

Let the numbers be

3 x

and

4 x

. Their LCM is

12 x = 84

, so

x = 7

. The smaller number =

3 \times 7 = 21

.

Answer: A) 21

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