Talk:Verbal arithmetic

message: Some web pages (including a couple of French ones) give "Maurice Vatriquant" or "M. Vatriquant" as the true name of Minos, the coiner of the name "crypt-arithmetique".  However Don Knuth and 
David Singmaster give "S. Vatriquant".  Who is right? Both?Jorge Stolfi 06:50, 24 May 2004 (UTC)
thread_title: Which Vatriquant?

message: I don't see the usefulness of casting out nines for solving alphametics, at least 2-addend ones. For example, in SEND + MORE = MONEY, M, O, S and R are solved in short order.  The casting out nines rule then gives you E + D - Y + 1 = 0 mod 9.  But this constraint doesn't give you anything that the right-most column doesn't.  In general, casting out nines gives you equations with too many variables.  Other techniques are much more helpful:
* mod 10 arithmetic
* treating columns as simultaneous equations
* carry analysis
* parity
Unless other types of alphametic puzzles get more mileage out of casting out nines, I'm inclined to remove its mention as an effective technique, and point the reader at techniques that work a little better.   JamesMayfield 19:33, 3 November 2006 (UTC)
thread_title: Usefulness of casting out nines

message: I removed this sentence because I could not make sense out of it:
:Examples are variants of Sudoku and Kakuro in which clues are given in terms of cryptic alphametics such as  NUMBER+NUMBER=KAKURO which has a unique solution 186925+186925=373850.  Another example is SUDOKU=IS*FUNNY whose solution is 426972=34*12558.
In Sudoku, the numerical value of the digits is irrelevant; they are just nine different symbols, that cannot be repeated in the same row, column, or block.  In Kakuro, the clues are sums of digits along each entry.  In either casse, I don't see how clues to the solution are given using cryptarithms.This same sentence has been inserted in the Sudoku and Kakuro articles, but it is not explained there either.I propose to just mention the possibility in this article, and put the examples and explanation in the Sudoku and/or kakuro pages, as approrpiate. --Jorge Stolfi 11:39, 23 October 2007 (UTC)
thread_title: Cryptic Sudoku and Kakuro

message: Second step for solving sample puzzle in the article says: "To produce a carry from column 4 to column 5, S + M is at least 9, so S is 8 or 9, so S + M is 9 or 10, and so O is 0 or 1. But M = 1, so O = 0."
Last sentence is not really well explained, it should mention the fact that O≠M  — Preceding unsigned comment added by Dlougach (talk • contribs) 12:32, 27 June 2011 (UTC)
thread_title:  Logic issues in sample problem 

message: I figured out an extra way to solve this, suprised no-one has said this,
S=2,E=8,N=1,D=9,R=6,O=3,M=0, Y=7.
SEND+MORE = MONEY, 2819+0368=03187.
can someone confirm this at all? i am 17 btw :P, and it was fun to solve this, because son-one seems to say this way.
:) i don't have a wiki account, but my name is Peter :3
Usually in these sorts of problems 0 is not allowed as the first digit of a number, because that's not the way you would normally write it (you would write 368, not 0368). —David Eppstein (talk) 22:33, 16 May 2013 (UTC)
thread_title:  Extra answer 

message: "Reverse cryptarithm: A rare variation where a formula is written and the solution is the corresponding cryptarithm whose solution is the formula given."
I have no idea what this means; a given arithmetic problem can be framed in millions of ways.  No examples or references are given. A web search turned up nothing sensible. I suggest this be deleted unless someone can provide examples.  — Preceding unsigned comment added by Fomalhaut~enwiki (talk • contribs) 02:40, 5 December 2018 (UTC)
replies: text: Presumably it's harder to frame the problem using English words than using nonsense sequences of letters. But this whole section is unsourced and should be removed unless sources can be found. —David Eppstein (talk) 02:57, 5 December 2018 (UTC)
thread_title:  Reverse  

message: A b
+b 1.64.160.11 (talk) 08:15, 2 September 2023 (UTC)
replies: text: solution please 1.64.160.11 (talk) 08:16, 2 September 2023 (UTC)
thread_title:  Find the value of b in verbal arithmetic puzzle