An algebra problem by Hammad Shah

Algebra Level 2

The Arithmetic Mean between two numbers is 5 and their positive Geometric Mean is 4.Find the numbers.

None of these 9,11 4,6 8,2 or 2,8

2 solutions

Manish Kumar
Sep 12, 2015

let the no be x and y then (x+y)/2=5,also (xy)^(1/2)=4 then by subsitution we get
2,8 as the answer

Mahdi Raza
Jun 29, 2020

Checking from the options seems the easiest way:

\[\begin{align} \dfrac{8 + 2}{2} &= \boxed{5} \\ \\ \sqrt[2]{8 \times 2} &= \boxed{4}

\end{align}\]