Some Cryptarithms

These puzzles are fun. The object is to replace each of the letters with a digit, in such a way that the arithmatical operation is correct. There are a couple of rules that are pretty universal. (1) No leading zeroes, and (2) A given digit may be represented by only one letter.
From time to time, I'll be adding new puzzles. And at some point, I'll probably post solutions as well. But remember, it is not fun to look up the answer until you have figured it out for yourself. The reason to look up an answer is to check on your own solution, or to see if there are additional solutions (sometimes there are), or to see if you have developed a solution that I have overlooked (you have no shot).

If these puzzles are not fun for you, please click here.


The first of these has been around a long time. It was the first of these puzzles that I ever saw, and I expect that this is probably true for most of us. (Personally, I think of this whole genre as "send-more-money puzzles".)

S E N D
+ M O R E
line
M O N E Y


The next three are in three different languages, English, French, and German. I hope that you will be able to figure out which is which.

SIX + SIX + SIX   =   NINE + NINE

E I N
E I N
E I N
E I N
line
V I E R
                  
C I N Q
C I N Q
V I N G T
line
T R E N T E


This one has more than one solution.

E V E   =   .TALKTALKTALKTALK.... (repeating decimal)
line
D I D

I apologize to anyone who may be offended by the above statement of the problem. This version of the problem has appeared in many places. If this apology is insufficient, you may instead solve the following version:

B O B   =   .TALKTALKTALKTALK.... (repeating decimal)
line
D I D


This one is different in format from the others, but it is similar to the others in that it is fun.

We have a long-division problem. All of the digits need to be filled in by you, except for the middle digit in the quotient, which is "8". (No leading zeroes, please). This problem has a unique solution.

            8           
line
               )                                         
              
line
                    
               
line
                    
                    
line


This one is obviously incorrect from a word standpoint. Your job is to to make it correct as a number representation. (This one has more than one solution.)

E I G H T
+ S E V E N
line
T W E L V E


Here's a change of pace -- a multiplication problem.

a b c d e
f
line
g g g g g g


Here's one suggested by my friend Steve Coats, based on a triginometry identity:

S I N  ×  S I N   +   C O S  ×  C O S      =      U N I T Y

This page updated February 13, 2016