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Question

The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is ___.



Your Answer
A

28

Your Answer
B

32

Correct Answer
C

40

Your Answer
D

64

Your Answer
E

56


Solution

The correct option is C

40


Let the numbers be 2x and 3x. Then, their L.C.M. = 6x.
So, 6x=48 or x=8.

The numbers are 16 and 24. Hence, required sum =(16+24)=40.

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