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For integers x and y, what is the smallest possible positive value of 420x + 300y?

 May 5, 2020
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For integers x and y, what is the smallest possible positive value of 420x + 300y?     

 

If you call x = –2 and y = +3, you get         –840 +   900 = 60     

Likewise  x = +3 and y = –4, you get         1260 – 1200 = 60     

 

I'm not certain that is the lowest possible total.     

.     

 Feb 14, 2026

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