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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.)
re: Solution | Comment 2 of 12 |
(In reply to Solution by Sir Percivale)

Sorry, but what is P&P?

I tried solving it with a C compiler, but didn't obtain an answer. I reduced the equation to the following:

a*111111 = b*c*(10*b+c)*(2*c+b)*(c+2*b)*(c-b)

is this correct?

Thank you.
  Posted by Bruno on 2005-09-27 00:54:26

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