The arithmetic mean between two numbers is 75 and their geometric mean is 21. Find the numbers.
We have the system:
\(\sqrt{xy} = 21\)
\({{x+y} \over 2} = 75\)
We can simplify both equations to:
\(xy= 441\) (1)
\(x+y=150\) (2)
Now, we just have to solve this system. Can you do it?