The LCM of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the numbers is ?
Question
The LCM of two numbers is 48. The numbers are in the ratio 2 : 3. Then what is the sum of the numbers?
Solution
To find the sum of the numbers, we first need to find the actual numbers. We know that the ratio of the numbers is 2:3 and their Least Common Multiple (LCM) is 48.
Step 1: Find the product of the numbers in the ratio. This is 2*3 = 6.
Step 2: Divide the LCM by the product of the numbers in the ratio. This is 48/6 = 8.
Step 3: Multiply the result from step 2 with each of the numbers in the ratio to find the actual numbers. This gives us 28 = 16 and 38 = 24.
Step 4: Add the two numbers together to find their sum. This is 16 + 24 = 40.
So, the sum of the numbers is 40.
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