Question

A.M. and H.M. between two quantities are 27 and 12 respectively, find their G.M.

Answer 1

Given $A=27$ and $H=12$.
But we know that A, G, H are in G.P.
$\therefore G^2=A.H.=27\times 12=9\times 36$
$\therefore G=3\times 6=18.$