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From: jp@lanl.ARPA
Newsgroups: net.math
Subject: Simple puzzle
Message-ID: <27373@lanl.ARPA>
Date: Tue, 18-Jun-85 21:29:37 EDT
Article-I.D.: lanl.27373
Posted: Tue Jun 18 21:29:37 1985
Date-Received: Sun, 23-Jun-85 02:41:25 EDT
Distribution: net
Organization: Los Alamos National Laboratory
Lines: 23



Recently I noticed that the license number on my truck had a rather
remarkable property that made it easy to remember.  The license number
for trucks in New Mexico consists of two letters followed by 4 digits
(0 - 9).  My license number is AN wxyz, where w,x,y, and z are single digit
integers (base 10).  I offer the following clues to assist you in 
determining my license number.

1.  One adjacent pair of digits taken as a two digit integer is twice
the other adjacent pair.

2.  One of the adjacent pair is twice another integer ij where i and j
are single digit integers not in the set {w,x,y,z}

3.  Three adjacent digits form a sequence each differing by one from its
predecessor. e.g. 123

4.  None of the digits w,x,y,z are the same.

What is my license number?

Jim Potter  jp@lanl.arpa