If AM of 2 numbersbe twice their GM then numbers are in the ratio

Hello student,
Please find the answer to your question below
Let the numbers be a,b
AM=(a+b)/2
GM=
Given AM=2GM
So (a+b)/2=2
a+b-4=0
Divide each term by b we get
(a/b)+1-4=0
()²-4()+1=0
on solving quadratic equation we get
=2
So (a/b)=()²
(a/b)=7