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Word Math Puzzles Help
CRpuzzles offers a computer tool to solve Word Math Puzzles that takes away the typical try-it, erase-it approach to the printed puzzles. Otherwise, a Word Math Puzzle offered here is exactly like that in print puzzle magazines: each number 0-9 in a simple arithmetic problem is substituted for (enciphered) by a different letter so that the primary numerical components of the arithmetic problem are enciphered to produce words. The letters that substitute for the numbers in 0-9 order form a Keyword of 10 different letters, where the Keyword is a single word, a set of related words, or a phrase. For example,
Cipher 0123456789
using Keyword FIRSTPLACE
789 ACE
------- -------
6712 5298734 LAIR PRECAST
46984 TLECT
division ----- becomes -----
problem 60033 Word Math LFFSS
53696 problem PSLEL
----- -----
63374 LSSAT
60408 LFTFC
----- -----
2966 RELL
To solve for the letter-number pairs, mathematical logic is used. In the above, for instance, where PRECA - TLECT = LFFSS, the F must be a 0 or 9 (E-E, C-C = 0 if A > T, 9 if T >A). In the last subtraction, though, where LSSAT - LFTFC = RELL, the F can't be a 9 since the value of F must be less than the value of S. So, the first entry in the solution would be
Cipher 0123456789
F
ACE
-------
LAIR PRECAST
TLECT
-----
LFFSS
00
PSLEL
-----
LSSAT
LFTFC
0 0
-----
RELL
Word Math Puzzle analysis continues until the Keyword and the complete arithmetic
problem are recovered. During the process, the solver may use
linguistic skills to recover parts or all of the Keyword to aid in
the solution.
CRpuzzles' Word Math online solving tool allows for easy entry and, if necessary,
change or retraction of the substitution pairs. To equate a number to
a letter, the solver clicks on the box under any of the occurrences
of the letter and enters the desired number; the program finds and
makes all other substitutions for the letter-number pair, including in
the 0-9 to Keyword recovery. The solver can also enter a letter in a
Keyword box under a number and all the appropriate number-for-letter
substitutions will be made in the arithmetic problem. A letter-number
pair can be changed by making a single change in the Keyword or in the
numerical problem; similarly, a pair can be returned to unknown by
entering a space for either the letter or number to be blanked. The
CRpuzzles Word math tool signals successful solution by changing the colors of
the characters on the Word Math Puzzle page.
Solvers who prefer to work on a CRpuzzles Word Math Puzzle off-line can print
the on-line page and complete the puzzle at their leisure; to check
the solution, solvers can click the Solution button on the on-line
Word Math page.
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