X and Y

X and Y are positive integers.
If X+Y+XY=32, what is the difference between X and Y?

Correct answer:

d =  8

Step-by-step explanation:

X,Y  N X+Y+X Y=32 X(1+Y)+Y = 32 X(1+Y)= 32Y  (32X)/(1+X)=Y  X1=4;Y1=12 X2=2;Y2=34 X3=0;Y3=32 X4=2;Y4=10 X5=10;Y5=2  X=X4=2 Y=Y4=10  d=YX=102=8

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