Multiple choice general knowledge math & puzzles

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

  1. 20

  2. 23

  3. 169

  4. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the numbers be a and b. We have ab = 120 and a² + b² = 289. Then (a+b)² = a² + 2ab + b² = 289 + 2(120) = 289 + 240 = 529. Therefore, a + b = √529 = 23. Option B is correct.