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)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Solution

| Comment 11 of 13 |

(In reply to Solution by Leming)

i only needed 3o-40 seconds to write down the solution, from previous knowledge: 111=3*37
1001=7*11*13 ==== . bc=37 a=c-b=4

ergo 4,3,7

Posted by Ady TZIDON on 2005-09-27 14:30:35

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