Cryptarithm
A cryptarithm is a type of mathematical puzzle in which most or all of the
digits in a mathematical expression, such as a sum, are substituted by letters or other
symbols. In a typical puzzle, there is a onetoone
correspondence between the numbers and the letters or symbols replacing
them. That is, the same digit is always
represented by the same letter or symbol. The objective of the puzzle is to break the code
used. That is, to replace each letter of the cryptarithm by a numeral so
that the resulting mathematical expression is true. Cryptarithms may have
several solutions. However, there are elegant ones with only one unique
solution.
Cryptarithm was originally called cryptarithmetic, a word used by M. Vatriquant
( pseudonym Minos), in the May 1931 issue of Sphinx, a
Belgian magazine of recreational mathematics published in French. Later,
this word has been shortened to cryptarithm. In 1955, J. A. H. Hunter
introduced the word alphametic to designate a
cryptarithm whose letters form meaningful words or phrases.
One of the best known
cryptarithm is

S 
E 
N 
D 
+ 
M 
O 
R 
E 
^{______________________} 
M 
O 
N 
E 
Y 
first published in the July 1924 issue of Strand
Magazine. This puzzle was made by the famous puzzlist H. E. Dudeney.
This
puzzle is also called an alphametic because the the letters in the puzzle form a
sensible phrase SEND MORE MONEY. This puzzle has the solution of

9 
5 
6 
7 
+ 
1 
0 
8 
5 
^{______________________} 
1 
0 
6 
5 
2 
This alphametic or cryptarithm is popular not only because the letters in
the puzzle form a very popular phrase, but it has also a unique solution.
Solve some of our cryptarithms involving the following
words:
