Re: Three rational triples

Phil Carmody <pc+usenet@asdf.org> wrote:

"Keith F. Lynch" <kfl@KeithLynch.net> writes:

HenHanna <HenHanna@dev.null> wrote:

Keith F. Lynch wrote:

Each of them has a sum that's equal to its product and is an integer.

They're literally everywhere.  Given 2 rational numbers, there's a solution

(Here I've capped numerators and denominators to 50.)

You missed the "and is an integer" part.

I'm particularly enamoured with this find:
4/3 7/6 9/2 7=7

As well you might, since that was the only solution that met my
criteria.  But of course it was one of the solutions I listed
in the first place.

Again, I wish you luck in finding one that I didn't list.
Even though there are infinitely many such.
--
Keith F. Lynch - http://keithlynch.net/
Please see http://keithlynch.net/email.html before emailing me.