if AM between two numbers exceeds their GM by 2 and the ratio of two numbers is 4, find the numbers

Let the two numbers be a and b.

So,

Again,

A.M = G.M + 2

So,

  • 10

let a and b be 2 no.s

AM= A+B/2

GM= √ab

ATQ, AM = GM +2

and a/b =4

a=4b.....................1

a+b/2 =√ab +2.................2

a+b =2√ab +4

from 1

4b + b= 2√4b² +4

5b = 4b + 4

b=4

from 1 a=16

  • 4
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