Math, asked by tharun954, 1 year ago

For two different numbers if G.M.=12 and A.M.=16, find their H.M.

Answers

Answered by MaheswariS
6

Answer:

9

Step-by-step explanation:

Concept:

Let a and b be two different numbers.

Then their

A.M=\frac{a+b}{2}\\\\G.M=\sqrt{ab}\\\\H.M= \frac{2ab}{a+b}


G.M.=12

\sqrt{ab}=12\\\\ab=(12)^2=144


A.M.=16

\frac{a+b}{2}=16

a+b = 32


Now,

H.M= \frac{2ab}{a+b}\\\\H.M= \frac{2(144)}{32}\\\\H.M= \frac{144}{16}\\\\H.M= 9

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