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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:

20
23
169
None of these

Correct Answer: 23

Explanation:

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.

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