Playing with numbers

*To*: mathgroup at smc.vnet.net*Subject*: [mg50135] Playing with numbers*From*: "Thomas Manz" <thomasmanz at web.de>*Date*: Tue, 17 Aug 2004 05:01:03 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Hello! Everyone of you knows number riddles! Here´s an example: you have five equations: (1) H - F = I (2) F x G = C (3) E / B = F (4) A + B = H (5) C - D = A every variable from A to I stands for a number from 1 to 9, where each number appears only once (no two variables can have the same value)!! Solving this problem with a piece of paper and your brain should take not more than 10 minutes. (I tried it, and also found that 5-4-6-1-8-2-3-9-7 (A-I) is the ONLY solution!) But how can I solve it with Mathematica?? best regards Thomas

**Follow-Ups**:**Re: Playing with numbers***From:*DrBob <drbob@bigfoot.com>