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a, b and c (Posted on 2005-09-27) Difficulty: 2 of 5
If a, b, and c are different numerals between 1 and 9 (inclusive), and

aaaaaa = b * c * bc * (c+c-b) * (c+b+b) * (c-b),

what are a, b, and c?

Note: Adjacent numerals are multi-digit numbers made of those numerals, not the product; i.e., if m=2 and n=3, then mn=23.

See The Solution Submitted by Josh70679    
Rating: 2.5000 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Spoiler (Hint) | Comment 4 of 12 |
111111 = 1001 * 111 = (11 * 91) * (37 * 3) = 11 * 13 * 7 * 37 * 3

Starting with this insight, solution takes well less than a minute


Edited on September 27, 2005, 2:05 am
  Posted by Steve Herman on 2005-09-27 02:03:09

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