Nothing like as nice as Jer's, though:

By inspection, y=(x+1), then

x(x+2)=8 y^2=9 xy=(8/(x+2))*(9/(y)) (x+2)y^2x = 72 x=(8-xy) y=(9-xy) (xy-10)(xy-9)(xy-9)(x y-8) = 72 say, (z-10) (z-9)(z-9) (z-8) = 72 z={6,12}

blackjack

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