The product of two numbers is 120 and their sum is 26. What are the numbers?

Question

Accepted Answer

(A) 10 and 12. Explanation: x+y=26, xy=120. Using (x-y)²=(x+y)²-4xy = 676-480=196. x-y=14. So x=20,y=6? No: x=(26+14)/2=20, y=6. Check: 20×6=120✓, 20+6=26✓. But option A says 10&12: 10+12=22≠26. Option C: 6&20 ✓. Answer C.