Question
The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:
Answer: Option B
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Let the numbers be x and y.
Then, xy = 120 and x2 + y2 = 289.
Therefore (x + y)2 = x2 + y2 + 2xy = 289 + (2 x 120) = 529
therefore x + y = 529 = 23.
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