Problem Solving (PS) | Re: Integers x and y with x > y > 0 satisfy x + y + xy = 80. What is x?

Given,

x>y>0.

x + y + xy = 80

x + y( 1 + x) = 80.

Now back solve the question.

Only E works.

26 + y(26 + 1 ) = 80

y( 27) = 54

y = 2.

So, x = 26 and y = 2.

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