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The arithmetic mean between two numbers is 75 and their geometric mean is 21. Find the numbers.

 May 2, 2022
 #1
avatar+2440 
+1

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?

 May 2, 2022
 #2
avatar+117841 
0

Good answer Builderboi   cool

Melody  May 3, 2022

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