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The LCM of two numbers in 48. Their ratio is 2 : 3. What is the sum of the numbers?
Question

The LCM of two numbers in 48. Their ratio is 2 : 3. What is the sum of the numbers?

A.

48

B.

30

C.

40

D.

24

Correct option is C


L.C.M of two numbers is 48 and then Ratio is 2 : 3
Let, the numbers are 2x and 3x respectively.
Then the H.C.F. of 2x and 3x = x
Now
2x × 3x = 48 × x
6x = 48
x = 48/6 = 8
The sum of numbers = 2x + 3x = 5x = 5 × 8 = 40

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