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Forum URL: http://www.cut-the-knot.org/cgi-bin/dcforum/forumctk.cgi
Forum Name: High school
Topic ID: 213
#0, Math/Word Puzzles
Posted by Rachel on Nov-14-02 at 03:57 PM
I have a problem to do in which letters represent numbers. The specific one I don't understand is SEND + MORE = MONEY. The "E's" are the same number in each word, as are the "N's" and "M's" and "O's". I figured out what the highest and lowest possible numbers SEND and MORE could be, but I don't know how to go about figuring the problem out, except for guess-and-check. If anyone has any ideas, please respond and give me some clues. Thanks.

Rachel


#1, RE: Math/Word Puzzles
Posted by Whymme on Nov-14-02 at 08:00 PM
In response to message #0
One convention in these puzzles is that the numbers given don't start with a zero. So the S and the M cannot be zero.

You shouldn't have to guess what the "M" stands for. Logical thinking is all that is required. Once you know that one, you can reason what the S is, and what the O must stand for.

You have three equations with an E;
D+E=(10+)Y
N+R=(10+)E
E+O=(10+)N
Two of these contain an N as well. By comparing those relations you can make some more educated guesses as to what the E and the N cannot stand for.

Continue from there.

Whymme