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What is the smallest positive integer that is the sum of a multiple of $15$ and a multiple of $21$? (Remember that multiples can be negative.)

 Dec 24, 2023
 #2
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What is the smallest positive integer that is the sum of a multiple of $15$ and a multiple of $21$? (Remember that multiples can be negative.) 

 

                   (15)(3) + (21)(–2)  

                           45 – 42  =  3  

 

              You can get it another way.  

 

                   (21)(3) + (15)(–4)  

                           63 – 60  =  3  

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 Dec 25, 2023
 #3
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                   (21)(1/7) + (15)(–1/5)   

                           3 – 3  =  0   

 

Nowhere did it say that the multiple had to be an integer.   

The only problem I see with this is the question, is zero positive?

.

 Dec 29, 2023
edited by Bosco  Dec 29, 2023

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