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let the harmonic mean and geometric mean of 2 +ve number be in the ratio 4:5 then the two numbers are in what ratio?

let the harmonic mean and geometric mean of 2 +ve number be in the ratio 4:5 then the two numbers are in what ratio?

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1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
9 years ago
harmonic mean 2ab/(a+b)
geometric mean sqrt(ab)
so 2ab/(a+b)*sqrt(ab)=4/5
ab/(a+b)2=4/25
(a/b)/(a/b +1)2=4/25
solving the quadratic equation we will get a/b=1/4 or 4 that means no. are in ratio 1:4

Sher Mohammad
faculty askiitias


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