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If x and y are positive integers for which 3x + y + xy = 115, then what is x + y?

 Jul 25, 2021
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Add 3 to both sides:

 

$(x+1)(y+3)=118$

$118=2*59$

$x+1=2$

$y+3=59$

$x=1, y=56$

 Jul 25, 2021

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