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The sum of two numbers is 16 and the sum of their squares is 113. Find the numbers. |
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Answer» Let the numbers be x and (15 - x). Then, x2 + (15 - x)2 = 113 => x2 + 225 + X2 - 30x = 113 => 2x2 - 30x + 112 = 0 => x2 - 15x + 56 = 0 => (x - 7) (x - 8) = 0 => x = 7 or x = 8. So, the numbers are 7 and 8. |
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