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Question

If ratio of H.M. And G.M. of two quantities is 12:13, then the ratio of the number is

A
1:2
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B
2:3
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C
3:4
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D
None of these
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Solution

The correct option is D None of these
Given,
H.M.=2aba+bG.M.=ab

H.M.G.M.=2ab(a+b)ab=1213

2aba+b=1213

aba+b=613

a+bab=136

ab+ba=136

Let ab=x

Then,
x+1x=136,6x2+6=13x,6x213x+6=0,6x29x4x+6=0,(3x2)(2x3)=0.

x=23,32

x2=49,94

ab=49,94

None of these.

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