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Let a and b be two different natural num...

Let a and b be two different natural numbers whose harmonic mean is 10 then their arithmetic mean is (1) 12 (2) 15 (3) 16 (4) 18

Text Solution

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`1/a,1/c,1/b`will be in AP
a,d,b will be in AP
`1/10-1/a=1/b-1/10`
`1/a+1/b=2/10`
`(a+b)/(ab)=2/10`
`(2d)/(ab)=2/10`
`d=(ab)/10`
`2d=a+b`
...
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