am:gm=5:4 if the difference between gm & hm is -4/5 find the numbers
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let the number be a & b.
Given AM : GM = 5 : 4
i.e (a + b) / 2 : √ab = 5 : 4
=> {(a + b)/2} / √ab = 5/4
=> 2(a + b) = 5 x √ab
& √ab - (1/a - 1/b) = -4/5
=> √ab - (b - a)/ab = -4/5
Given AM : GM = 5 : 4
i.e (a + b) / 2 : √ab = 5 : 4
=> {(a + b)/2} / √ab = 5/4
=> 2(a + b) = 5 x √ab
& √ab - (1/a - 1/b) = -4/5
=> √ab - (b - a)/ab = -4/5
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