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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 kthoundd

Answer (2)

To do this we need to find the factors of 60 these are: 1 and 60 2 and 30 3 and 20 4 and 15 5 and 12 6 and 10 There is 1 pair that have a difference of 7 and that is 5 and 12

Answered by AndyBryer | 2024-06-10

The two numbers are 5 and 12, where 12 is 7 more than 5. They have a least common multiple of 60. This was determined by checking pairs whose difference is 7 and their LCM yields 60.
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Answered by AndyBryer | 2024-12-26