Question

if the A.M. of two numbers exceeds their GM by 2 and their HM by 18/5, find the numbers​

Answer 1

Answer:

let two no be a and b and| a- b| = 1 by ap

a+b=ab+2 given

2ab / a+b =18 /5 given

10 ab = 18 (ab +2)

0= 8 ab + 36

ab = - 36/ 8 = -9/2

a+b= -5/2

a or b = -3/4 ans

b or a = -3/2 ans