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If a and b are positive integers for which ab-6a+5b=14, what is the minimal possible value of |a-b|?

 Jan 7, 2021
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Using Simon's favorite factoring trick, we get (a-6)(b+5)=-16

If a is 4 and b 3, it satisfies the equation so the minimal value is 1.

:D

 Jan 7, 2021

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