Question 790409
let  the numbers be x & y

(x+y)/2 = 5
x+y=10


GM = sqrt(xy)

4 = sqrt(xy)
16 = xy

16/y =x

16/y + y =10

multiply by y

16+y^2=10y

y^2-10y+16=0

y^2-8y-2y+16=0

y(y-8)-2(y-8)=0

(y-8)(y-2)=0

y = 8 OR y=2

when y = 8 x=2

when y = 2 x=8