The least common multiple of two whole numbers is 12. The ratio of the greater number to the lesser number is 3 : 2. What are the two numbers? May someone help me with that?

36 and 24

Step-by-step explanation:

You can use the ratio given to you to help find your answer

We know the ratio has to be 3:2

And both numbers LCM is 12

So lets start with multiples 12 becuase we know it’s a guaranteed LCM of 12.

so So 12 can’t work becuase there is already a 2 in the ratio and 12 has to go in the number 2 times and 12 only goes into 12 once

24 works since 12 goes into 24 twice

Now for the “3” Ratio

We know 12 can’t work since it goes in once

24 won’t work cuase it goes in twice

36 works

So its 36 and 24

We can check

The lcm of 36 and 24 is 12

And when you simplify them

you get 3:2

Becuase since the LCM is 12

36/12=3

24/12=2

3:2

And we know it’s lcm becuase we can’t simplify it anymore

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step-by-step explanation: