LetusconsiderthethreepositivenumbersasxyandzSumofthreepositivenumbersxyz18gt1productofthreenumbersxyz162gt2Giventhatsumoftwonumbersisequaltothethirdiexyzgt2z18gtz9Replacingz9inequation1amp2wegetxy9andxy18Solvingabovewegetx6andy3thereforesumofsquaresofthenumbers6sup2sup3sup2sup9sup2sup126