# Questions tagged [alphametic]

Alphametic puzzles involve equations where digits have been replaced with letters.

100 questions
Filter by
Sorted by
Tagged with
257 views

### Math puzzle with logic programming

I had below question in one of my assignments for Login Programming for Artificial Intelligence topic. Solve the alphametic:     $ABCDE$ $+$ $CFGH$   --------...
148 views

### Greedy for Cash

Solve this Cryptarithm GIVE + MORE --------- MONEY Referenced from the Britannica Encyclopaedia No. 25 - "Number Prague"
87 views

### Alphametic puzzle, involving square and prime numbers [closed]

I have been trying puzzle solving recently and came across this problem. Any hints on how to do this? So far, I have found that N, R and F must be odd (as they are the last digit in a 5 digit prime ...
153 views

### Crypt Arithematic problem

Solve this Alphametic puzzle    T H I S + S I Z E ========= S H O R T
111 views

### Why two IA creates problems? [closed]

IA creates lots of debates about potential problems such as overtaking humans or destroying jobs. I'm not sure about AI but since 1985 Terminator, I know that two IA ("Intelligence Artificielle) ...
142 views

### Crossnumber puzzle

This is a numeric crossword: all the answers are positive numbers with no leading zeroes. Each clue is given as a sequence of mathematical operations on letters, each of which represents a distinct ...
129 views

### Mystic Island Math - Can you Figure it out?

On Mystic Island math is done via symbols. Distinct symbols represent distinct digits, varying from 0 to 9. From the picture below, figure out the corresponding digits. Please provide your reasoning....
4k views

### Too early in the morning to have SODA?

Each letter shown represent distinct digit...can vary from zero to nine. $COCA$, $COLA$, $SODA$ are three concatenated numbers. Figure these out from the following relation: $COCA + COLA = SODA$
121 views

691 views

### Find magical solution to magical equation

Solve this magical equation: $$(M+A+G+I+C) \times (M+A+G+I+C) \times (M+A+G+I+C) = \overline{MAGIC}$$ Each letter represents a separate digit.
2k views

### Adding up numbers in Portuguese is strange

My friend from Portugal said that 2 + 2 is 8 in Portuguese. And he could prove it. I did not understand it at first. But then he showed me the following equation: ...
332 views

### Of course, *I* could solve this easily

Question: What do you think about music? Encoded below is part of one of my favorite songs. Rejoice, as the key to decrypt it is a common pattern. The type of thing you might see everyday. You should ...
561 views

### Three Visual Puzzles

I'm designing a puzzle game, and am trying to play-test some concepts. Can you solve these? 108153767833 = A + B + C. What are the components and why? Note for C: As a hint to correct an oversight, ...
641 views

### No spanish required

Each letter represents a digit, so what is Mucho and Poco (although who's to say?) ...
165 views

### $109088$ as sum of $3$ palindromes

One can write the number $109088$ as the sum of two palindromic numbers as follows: $$109088 = 99199 + 9889$$ Note that the numbers on the right are both palindromes (read the same left to right as ...
563 views

### K, L, M, K, L, M, … what is the pattern? It is not what you first think

Everyone knows the J Family. It is the family where the names of the three sons and three daughters of Mr and Mrs Jameson each start with the letter J. Three Boys: Jordan; Jasper; ...
351 views

### Endless investigation for ultimate truth

An alphametic puzzle containing 42. Don't panic although this is so big. Note that it contains the decimal point and thus several * must be 0. Here's an ascii version for easier editing: * ...
2k views

### What is his phone number?

Edit One day when you are watching your neighbor's dogs (one named Morse and the other named "nag a ram") the dog starts to have problems. Nag a ram will not stop crying/yelping and looks sad, so you ...
692 views

### How do I solve this odd puzzle?

I need help. Try to solve this puzzle. It's a blend of mathematics and words. The goal of word math problems is to assign each letter an integer value, 0-9. An example is below. Example: ...
244 views

### CITEMAHPLA Reverse Alphametic

Attempt at a Reverse Alphametic puzzle with a mathematically correct equation: 68053 + 2531 = 70584 Replace all the numbers with English letters (same number: same letter, so totally 9 separate ...
1k views

### What are these numbers?

A simple (I think) alphametic puzzle $\small{MADMEN = (M+A+D+M+E+N)^{((M+E+N) - (M+A+D))}}$ M,A,D,E,N are different (no repeats) positive integers between 0 and 9 and of course the 2 Ms are the ...
327 views

### Sum of three six digit numbers

This puzzle is a variation of a 3 digit addition puzzle I saw recently. A , B , and C are positive integers between 0 and 9. A,B and C are different integers Six digit numbers formed using A,B and ...
137 views

### How many answers are there to this alphametic?

If you take a problem of the form: abc +def ---- ghij where each letter must be replaced by a different digit (that is, all digits, 0-9 must be used once), how ...
317 views

### Decipher this puzzle

This is my riddle for you, to solve it you need to decipher the letters to digits: j m b k + n h s m --------- n h b m t the following rules must apply: ...
332 views

### 1 crossword and 2 connected alphametic (more clues)

Rules : Solve the Crossword. The words can be written backward (example zebra -> arbez) After finishing the crossword, solve the alphametics. The crossword is only uses 10 letters. Each letter ...
198 views

### Archaeological alphametic

Enigmarchaeologists uncovered an ancient Roman precursor to our familiar, and comparatively dignified,   SEND + MORE = MONEY  alphametic.   ...
199 views

### Scottish Letter Equation

The following puzzle is from a Scottish mathematical competition and has been posed at the Jordanhill school in Glasgow: A shop sells letter signs, and the price of every letter is an integer number ...
1k views

### One year celebration

I've got notified a few days ago from PSE that my account on this website is 1 year old. So I thought about celebrating it (or commemorating it, because you all made me addicted to this) with a puzzle ...
549 views

### Long Division Logic Problem

I know some of you enjoy some good math logic problems (Myself included) here is one I had fun with that took me a bit of time to solve. The A in these numbers is a number 0-9, it is the same number ...
820 views

### Factoring puzzle

I have an amazing puzzle that should be a little difficult even for you awesome puzzlers. $(ab)^c = def × ghij$ where each letter stands for a number from 0 to 9 (inclusive). Each digit must be ...
342 views

### Alphametic puzzle for year 2017

In east Asia 2017 is the year of a rooster. $$ABCD=\left(A \times CA^A + \frac{C}{D} \right) \times D$$
4k views

### A Page of Puzzling

I found this puzzle page from a newspaper and found it absolutely confounding. The sudoku had question marks and other things all over it, the logic puzzle made no sense, the cryptic crossword was ...
718 views

### Arrange numbers to 3 different math operations

Replace letters with numbers 1 to 9, so the 3 operations below are equals. Each letter represents one unique number. $$\frac{ab}{c} = de \times f = gh - i$$
228 views

### Solve XAB + YZCD = ZEXY

Replace each letter with a digit between 1 and 8 to make the equation $XAB + YZCD = ZEXY$ true. Each letter represents a different digit. Bonus question: How many solutions are there in total?
107 views

### An alphametic cryptogram with clues

At college you know your roommate is reading books about cryptography. When looking at his journal you see the following entries. You decide to figure out the code and follow him around for a few ...
3k views

### Does AAA+BBB+CCC+DDD=ABCD have a solution for distinct digits A,B,C,D?

I was asked to solve the following sum: AAA BBB CCC DDD -------- ABCD What I managed to found is that ...
833 views

### ENLIST+SILENT+LISTEN = ANAGRAM

An anagram is direct word switch or word play, the result of rearranging the letters of a word or phrase to produce a new word or phrase, using all the original letters exactly once Solve this ...
1k views

### A × SILENT + LISTEN = ANAGRAM

An anagram is direct word switch or word play, the result of rearranging the letters of a word or phrase to produce a new word or phrase, using all the original letters exactly once Solve this ...
303 views

### Alphametic with modulo

Solve this alphametic $ABCDEFG$ $mod$ $(A×B×C×D×E×F×G) = 0$ example : $ABCDE$ $mod$ $(A×B×C×D×E) = 0$ $13248$ $mod$ $(1×3×2×4×8) = 0$ Note : Do not replace any letter with 0. Each letter ...
566 views

### Multiply 2 palindromic alphametics to make a pandigital number

There are some different definitions of pandigital numbers, so to avoid misinterpretation, lets use this definition: Pandigital numbers (pandigit) are numbers containing the digits 0-9, where each ...
441 views

### Alphametic as protest #2

Riddles for all. Since my latest alphametic as protest got a good feedback but my riddle as protest did not, I decided to stick to what works and added a new alphametic as a protest for the riddle ...
2k views

### Alphametic as protest

This is my (constructive) way of protesting the new sandbox for riddles. It's a simple alphametic. You know the rules. Each letter is a unique digit. The leading digits cannot be 0 (zero). If you ...
285 views

### PUZZLE WORLD alphametic

I have tried to solve this but I can't. Does somebody know the answer? Ref: Puzzle World, Ed. Nob Yoshigahara and Richard Bozulich, Ishi Press, Summer 1992, Pilot Edition.