Question

Two numbers are in ratio 4:1 . If their AM exceeds their GM by 2 , then find the numbers ?​

Answer 1

Answer:

Nos. =4 & 16

Step-by-step explanation:

Let one no. Be a and other 4a

AM = 5a/2

GM= 2a

Given.5a/2=2a+2

a=4

Answer 2

x=4y

(x+y)/2=sqrt(xy) +2 ........1

put the value of x in above equation.

(4y + y)/2=sqrt(4y*y) +2

5y/2= 2y+ 2

y/2=2

y=4

x=4y

x=4*4

x=16.

You can also check the answer by putting the value equation 1.

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