Question 672799
What two positive numbers when multiplied together also equal the sum of the same two numbers?
what I have tried so far:
xy=a
x+y=a
xy=x+y
x(y-1)=y
x=y/y-1 
I know the answer is 2 but how do I show that?
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xy = x+y
xy - y = x
y*(x-1) = x
y = x/(x-1)
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Same as what you did.
There are an infinite number of solutions.
Pick any x and find y.
eg, 2
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x = 3 --> y = 3/2
x = 4 --> y = 4/3
etc