for Puzzlet #078
From: Ken Duisenberg [firstname.lastname@example.org]
computer needed, as a little analysis will yield the result. Each
is a multiple of 111, which has as factors 37 and 3. So one of each
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
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
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
of my page enjoy finding the answers that way. The coding is always fun.