[net.math] Simple puzzle

jp@lanl.ARPA (06/19/85)

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

jp@lanl.ARPA (06/20/85)

 

I have reformulated the clues a bit.
> 
> 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.
> 
(This is the revised clue.)

  2.  At least two of the digits are odd.
> 
> 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
 

lhl@lanl.ARPA (06/20/85)

> 
>  
> 
> I have reformulated the clues a bit.
> > 
> > Recently I noticed that the license number on my truck had a rather
> > remarkable property that made it easy to remember.
>  
>  Jim Potter  jp@lanl.arpa
>  
> 

I suppose your number is 3876, but (since you didn't exclude zero as
a digit) 3216 must come to mind once in a while.

jp@lanl.ARPA (06/25/85)

I have reformulated the clues one last time.
 
> > 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.  Three adjacent digits form a sequence each differing by one from its
> > predecessor. e.g. 123
> > 
    3.  The number is even modulo 9

> > What is my license number?
>  
All of this goes to prove that it ain't easy to make a puzzle.

Thanks to all who pointed out my oversights and redundancies.

>  Jim Potter  jp@lanl.arpa
>  
>