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If the AM and HM of two numbers are 27 a...

If the AM and HM of two numbers are 27 and 12 respectively, then what is their GM equal to ?

A

9

B

18

C

24

D

36

Text Solution

Verified by Experts

The correct Answer is:
b
Let the numbers be a and b
` :. (a+b)/2 = 27 and (2ab)/(a+b)=12`
` rArr a+ b =54 and 2ab = 12 (a+b) rArr 2ab = 12 (54)`
` rArr ab = 6 (54) = 324 rArr sqrt(ab) =18` ,
Thus , GM =18
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