Sequences

Asked by  | 20th Mar, 2009, 10:32: AM

Expert Answer:

Let the numbers be a and b

AM = (a+b)/2 GM = ab

HM = 2ab/(a+b)

AM/GM = 5/4
GM- HM = 8
Subsitute the values we get
(a+b)/2ab = 5/4
Simplifying this we get 4(a/b)2 - 17(a/b)+4 = 0Solving a/b = 4 or 1/4
again ab- 2ab/(a+b) = 8
use a =4b in this and solve to get the values of a and b

 

 

Answered by  | 20th Mar, 2009, 07:55: PM

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