Question

if the geometric mean of two numbers is 6 and its arithmetic mean is 10 find the numbers.!!

Answer 1

let the numbers be x and y, then
x+y=2*10
x*y=6^2
solve for x and y

Answer 2

Solve it for me please.

Answer 3

here will come a quadratic equation if we put x=36/y in equation 1

Answer 4

correct.

Answer 5

\[\frac{ 36 }{ y }+y=20\]
\[y^2-20y+36=0\]
\[y^2-2y-18y+36=0 \]
now you can solve.

Answer 6

then it will give us 2 value for y.. i want one.

Answer 7

when y=2 ,x=36/2=18
when y=18, x=36/2 =18
so only order is different.
hence numbers are 2 and 18