# SOLUTION: find 2 positive numbers whoes squares have a sum of 113 and a difference of 15

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 Question 128190: find 2 positive numbers whoes squares have a sum of 113 and a difference of 15Answer by stanbon(57307)   (Show Source): You can put this solution on YOUR website!find 2 positive numbers whoes squares have a sum of 113 and a difference of 15 ----------- EQUATIONS: x^2 + y^2 = 113 x^2 - y^2 = 15 ---------------- Subtract the 2nd from the 1st to get: 2y^2 = 98 y^2 = 49 y = 7 --------- Substitute to solve for "x": x^2 + 49 = 113 x^2 = 64 x = 8 =========== Cheers, Stan H.