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

Question:
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

Answer: Option B

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.