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 1

Answer:

B. 23

Let the two numbers be 'x' and y. Given that, xy = 120 and x² + y² = 289 We know, (x + y)² = x² + y² + 2xy From the above relationship, (x + y)² = x² + y² + 2xy (x + y)²= 289 + 2 x 120 = 289 + 240 = 529 (x + y)² = 529 x+ y = 23