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Question

This is out of syllabus.

I want a help in doing my maths project on the topic "various types of cryptarithm".

Please send your reply in detail.!!!

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Solution

Cryptarithms are puzzles in which letters or symbols are substituted for the digits in arithmetic calculations. Cryptarithms come in three types- alphametic, digimetic and skeletal division.
1)ALPHAMETIC CRYPTARITHMS: If a cryptarithm uses letters in place of digits and these letters form sensible letters or phrases, the puzzle is termed as alphametic. For e.g. SEND
MORE
------------------
MONEY
2)DIGIMETIC CRYPTARITHM: A cryptarithm which uses digits to represent pther digits. __1__
x 9__
--------------
__ __ 9 __
+ __ __ __ 7
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H A P P Y
3) SKELETAL DIVISION: A long division in which most or all of the digits are replaced by symbols (usually asterisks) to form a cryptarithm.


From other source


types of cryptarithm include the alphametic, the digimetic, and the skeletal division.

Alphametic
A type of cryptarithm in which a set of words is written down in the form of a long addition sum or some other mathematical problem. The object is to replace the letters of the alphabet with decimal digits to make a valid arithmetic sum.

Digimetic
A cryptarithm in which digits are used to represent other digits.

Skeletal division
A long division in which most or all of the digits are replaced by symbols (usually asterisks) to form a cryptarithm.

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