Question

Find H.M. of two positive numbers whose A.M. and G.M. are `15/2` and 6.

Answer 1

A.M. = `15/2`, G.M. = 6

Now, (G.M.)² = (A.M.) (H.M.)

∴ 6² = `15/2 xx "H.M"`

∴ H.M. = `36 xx 2/15`

∴ H.M. = `24/5`