**Contribution
for Puzzlet #078**
**From: Ken Duisenberg [****ken.duisenberg@hp.com]**

No
computer needed, as a little analysis will yield the result. Each
answer
is a multiple of 111, which has as factors 37 and 3. So one of each
pair
of
numbers must be either 37 or 74, and the other must have a factor of 3.

This leads quickly to the table:

37 x 12 = 444

37 x 15 = 555

37 x 18 = 666

37 x 21 = 777

37 x 24 = 888

74 x 12 = 888

37x27=999 is not an answer due to digit duplication, and any other
multiples
would yield more than 3 digits.

If leading zeros are allowed, then the
additional answers below would be added:

37 x 06 = 222

37 x 09 = 333
** **

Thanks
for the e-mail. Duhh! Why didn't I think of that? Very simple
- and elegant. I'm going to put it on my contributions page.
However, I'll leave the computer solution in, as I know a lot of
readers
of my page enjoy finding the answers that way. The coding is always fun.

Dave.