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# Algebra

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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
+1366
+2

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
+117116
0