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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re: Solution

| Comment 2 of 13 |

(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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