Question

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

Answer 1

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,

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