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Kahan to bring alphametics to word ways.

The Journal of Recreational Mathematics, which first appeared January 1968, has suddenly stopped publishing with its December, 2014 38(2) issue. For nearly 30 years Steven Kahan was editor of JRM's Alphametics column and has happily agreed to continue the column in Word Ways. His first Alphametics will appear in the August issue. Readers should send contributions to

We remind the reader of just what Alphametics means. Perhaps the most famous example was composed by H. E. Dudeney in the July 1924 issue of Strand Magazine. There the solver was to replace the following letters with unique digits so that the addition problem wascorrect.

Only one answer is possible and it is given in Answers andSolutions. Some other examples and resolutions are in Answers andSolutions.


Thesentence formed with the ten letters above the line, which is the key tothis sum, is Do your best. If these letters are numbered consecutively 1, 2, 3, 4, 5, 6, 7, 8, 9,0, and the corresponding figures are substituted for the letters, thesum works out as is shown in the second diagram--
S B 9 7 R
 E 6 8 Y D 3
1 O T 4 0 U
O 5 2 O E E 2 8


The sentenceformed with the ten letters above the line, which is the key to thissum, is--Add these up. If these letters are numbered consecutively 1, 2, 3, 4, 5, 6, 7, 8, 9,0, and the corresponding figures are substituted for the numbers, thesum works out as is shown below.
         D U                     2 9
         E H                     6 5
         E D                     8 3
         A P                     1 0
         S T                     7 4
       D E A                   2 6 1 

From the Dutch journal Pythagoras, September, 2008 (48,1)


Gelijke letters staan voor gelijkecijfers, verschillende letters zijn verschillende cijfers. Wat zijn decijfers in onderstaande rekensom?


Another example is the OLYMPIC EMBLEM puzzle. The nine differentletters in the title form the five words MY, PLY, POI, ICE and BE asshown. Replace the letters with unique digits so that each ring has thesame sum.

We at Word Ways lament the passing of JRM. 1968 wasalso Word Ways start and both journals owe much to the efforts of MartinGardner. It was Gardner's friend Joseph S. Madachy (1927-2014)who started JRM after a failed earlier attempt with 14 issues of thepublication Recreational Mathematics Magazine beginning in 1961.

Charles Ashbacher for fourteen years was manuscript and book revieweditor for JRM and has decided to continue with an eBook aboutrecreational mathematics. So far, in 2015 he has produced threecompilations. Please use for information.

Ashbacher's artist Caytie Ribble produces for him cartoonsthat combine mathematics and word play. For example

 SEND                9567
   is    1085 MONEY              10652 


First form a short sentence withthe ten letters that are above the. line in this diagram:--
 E D A P S T D
E A 

Number the letters consecutively 1,2, 3, 4, 5, 6, 7, 8, o, and then work a sum in addition, substitutingthese numbers for the letter with which they correspond.
 NOOT              8553
   is    564 MIES              9217 

No.XXXIX--ARITHMETIC BY ANAGRAM Form a short sentence with the lettersabove the line in this diagram :--
 D O T U O O E

Next number the letters of thesentence consecutively 1, 2, 3, 4, 5, 6, 7, 8, g, 0, and then work out asum in addition with these numbers substituted for the letters withwhich they correspond.

one of severalsolutions

From A. Cyral Pearson Picture Puzzles& WordPlay, 1908, Routledge

The number puzzle but not the word diagramis from Wallis, W.D. Magic Graphs, 2001, Birkhauson. Each ring sums to 11 thusly:

1 2 3 4 5 6 78 9 P E Y I C O L M B


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Title Annotation:Steven Kahan
Author:Farrell, Jeremiah
Publication:Word Ways
Date:May 1, 2015
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