If a, b, and c are different numerals between 1 and 9 (inclusive), and
aaaaaa = b * c * bc * (c+cb) * (c+b+b) * (cb),
what are a, b, and c?
Note: Adjacent numerals are multidigit numbers made of those numerals, not the product; i.e., if m=2 and n=3, then mn=23.
Not sure the level of difficulty is correct.
Four minutes with the mighty Excel doing trial and error gave:
(a, b, c) = (4, 3, 7)
Low level of logic needed with computers involved.

Posted by Leming
on 20050927 01:56:22 