My favourite number consists of several
digits and is not included on my list of
five whole numbers (comprising non-zero
digits) written below in capital letters,
where different letters stand for different
digits and the same letter stands for the
same digit.

I can tell you that although my favourite
number is smaller than the BEST number,
which is twice as GOOD, and larger than the
ODD prime number, there is a BETTER number
that is bigger than the OTHER number, which
is exactly 25 times my favourite number.

What is my favourite number?

Ciao,
Chappy.

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For GOOD * 2 = BEST there are only 5 possibilites:
 1339 * 2 = 2678
 1882 * 2 = 3764
 2339 * 2 = 4678
 3229 * 2 = 6458
 4881 * 2 = 9762
Because ODD is a prime, GOOD must be 4881 and BEST must be 9762.
Because OTHER is divisible by 25, R must be 5, and thus BETTER is
972275.
Now H must be 3 as all other non-zero digits are already used, and so
OTHER must be 82375.
This means that the favourite number is 3295.

Please reply to ilan dot mayer at hotmail dot com

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__/\\  //\__  Ilan Mayer
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