Question
Two numbers are in the ratio 2 : 3. If their L.C.M. is 48. what is sum of the numbers?
A. 28
B. 64
C. 42
D. 40
Answer: D. 40
Solution:
Let the numbers be 2x and 3x
LCM of 2x and 3x = 6x (∵ LCM of 2 and 3 is 6. Hence LCM of 2x and 3x is 6x )
Given that LCM of 2 x and 3 x is 48
=> 6x = 48
=> x = 48 / 6
= 8
Sum of the numbers = 2x + 3x
= 5x
= 5 × 8
= 40
Hence, The answer is 40.
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