Problems on Numbers

The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:

A 20

B 23

C 169

D None of these

ANS:B - 23

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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