wo numbers are in the ratio 2 : 3. If their L.C.M. is 48. what is sum of the numbers?

Sure, here are the steps to solve the problem:

Step 1: Let's assume the two numbers are 2x and 3x.

Step 2: Since the LCM of two numbers is equal to the product of the numbers divided by their GCD, and the GCD of 2x and 3x is x, we can set up the following equation:

(2x * 3x) / x = 48

Step 3: Simplify the equation to find the value of x:

6x = 48

x = 48 / 6

x = 8

Step 4: Substitute x = 8 back into 2x and 3x to find the two numbers:

2x = 2*8 = 16

3x = 3*8 = 24

Step 5: Add the two numbers to find their sum:

16 + 24 = 40

So, the sum of the two numbers is 40.