Question

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3. LCM of two numbers is 48. The numbers are in the ratio 2:3. Find the sum of
numbers.​

Answer 1

Answer:

16 and 24

please make be brain list

Answer 2

Step-by-step explanation:

I'll try to establish some truths/facts from the given information. Then proceed accordingly.

1. The numbers are in the ratio 2:32:3. Let they be of the form 2x2x and 3x3x (formally {2x,3x∣x∈N}{2x,3x∣x∈N}) . So their LCM must be of the form 6x6x.

2. Solving for 6x=486x=48, we arrive at the result x=8x=8.

3. The sum of the numbers must be 2x+3x=5x2x+3x=5x. Hence the sum is surely 5×8=405×8=40.

Thus the sum of the two numbers is 40 in this case. A fun thing to notice is that during the whole process, you don't really need to find the two numbers. Taking an arbitrary constant to convert the ratio into operable variables works in that favour.