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The greatest common divisor of two positive integers is (x+5) and their least common multiple is x(x+5), where  is a positive integer. If one of the integers is 50, what is the smallest possible value of the other one?

please help me asap!

 Apr 15, 2022
 #1
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Note that the factors of 50 are 1, 2, 5, 10, 25, 50.

 

x+5 must equal one of these.

 

The least common multiple of 50 and one of these must be 50.

 

Can you take it from here? 

 Apr 15, 2022
edited by Alan  Apr 15, 2022
 #2
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Thanks for answering!!!

 Apr 15, 2022

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