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In Mathematics / Middle School | 2014-09-22

The least common multiple (LCM) of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Justify your answer.

Asked by iprlovematters

Answer (2)

To do this we need to look at the factors of 60, this is: 60 and 1 30 and 2 20 and 3 15 and 4 12 and 5 10 and 6 We now need to look for two that have a difference of 7, this is 12 and 5

Answered by AndyBryer | 2024-06-10

The numbers are 5 and 12, as they have a difference of 7 and their LCM is 60. The calculations confirm this relationship holds true. Hence, these are the numbers that satisfy the conditions given in the problem.
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Answered by AndyBryer | 2024-12-26

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