The product of two numbers is 120. The sum of their squares is 289. The sum of the two numbers is?

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Accepted Answer

Let the number be a and b . Then, (a+b)2 = a2 + b2 + 2ab = 289 + 2 x 120 = 289 + 240 = 529 ∴ a+b = √529 = 23

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