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### Discussion :: Problems on Numbers

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

2.  A. 20 B. 23 C. 169 D. None of these

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 = $$\sqrt{529}$$=23

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