Question

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

Answer 1

let the numbers be x and y.

Then, xy = 120 and x^2 + y^2 = 289.

 (x + y)^2= x^2 + y^2+ 2xy = 289 + (2 x 120) = 529

 x + y = 529 = 23.