The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is? Answers.
A) 23  B) 25  C) 27  D) 31  E) 35
Let the numbers be x and y.   Then, xy = 120 and x2 + y2 = 289.   (x + y)2 = x2 + y2 + 2xy = 289 + (2 x 120) = 529   x + y = 529 = 23.   Option 23
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The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is?