Simplify the equation to read xy = 2010x + 2010y

Then ( x - 2010 )( y - 2010 ) = 2010^2 = (2*3*5*7)^2

Since each of the 4 primes is a square, there are 3*3*3*3 = 81 different factors of the RHS and 81 different (x,y) solutions.

blackjack

flooble's webmaster puzzle