perplexus.info :: Numbers : a, b and c

a, b and c (Posted on 2005-09-27)

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: 2.7778 (9 votes)

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Solution

| Comment 3 of 13 |

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 2005-09-27 01:56:22

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