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If x and y are positive integers for which 3x + 2y + xy = 115 + 11x + 2y, then what is x + y?

 Jun 16, 2024
 #1
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3x + 2y + xy = 115 + 11x + 2y    simplify

 

8x - xy = - 115

 

x ( 8 - y)  =  - 115

 

x ( y - 8)  =  115

 

factors of 115  =   1   5   23    115

 

Four possible solutions  for x, y

 

y = 31    x =  5

y = 123  x = 1

y = 13    x = 23

y = 9     x = 115

 

x + y =   36  or  124

 

cool cool cool

 Jun 16, 2024

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