The L.C.M. of two numbers is 96. The numbers are in the ratio 2 : 3. Then the sum of the numbers is:

Question: The L.C.M. of two numbers is 96. The numbers are in the ratio 2 : 3. Then the sum of the numbers is-

Solution:
Let the numbers be 2x and 3x
Then, their L.C.M. = 6x

So,
6x = 96
∴ x = 16

The numbers are 2x = 32 and 3x = 48

Hence, required sum = (32 + 48) = 80