# If ratio of AM and GM of two numbers is #5/4#, what are the numbers and what is their HM?

##### 1 Answer

Numbers are

#### Explanation:

Let the two numbers be

Their A.M. is

and as ratio between A.M. and G.M. is

or

or

i.e.

or

i.e. either

Hence numbers are of the form

and their G.M. is

Further, as difference of G.M. and H.M. is

or

Hence numbers are

Observe their A.M. is

@ If

and