# SOLUTION: The difference of 2 numbers is 18. The sum of the squares of the numbers is 164. Find the numbers.

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 Click here to see ALL problems on Numbers Word Problems Question 232978: The difference of 2 numbers is 18. The sum of the squares of the numbers is 164. Find the numbers.Answer by edjones(7569)   (Show Source): You can put this solution on YOUR website!Let x be the larger number. a) x-y=18 b) x^2+y^2=164 . a) x=y+18 b) (y+18)^2+y^2=164 y^2+36y+324+y^2=164 2y^2+36y+160=0 y^2+18y+80=0 (y+10)(y+8)=0 y=-10, y=-8 y=-10, x=8 or y=-8, x=10 . Ed