# Questions tagged [alphametic]

Alphametic puzzles involve equations where digits have been replaced with letters, where the goal is usually to reconstruct the original equation, matching letters to numbers.

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### BROWN + YELLOW = PURPLE [closed]

This is a Cryptoarithmatic, where each letter denotes a single digit number. Find values of all the letters. BROWN + YELLOW = PURPLE Please show your method for solving this question.
• 69
3k views

### Math is Awesome

I have a shirt. It says that $AWE+SOME=MATH.$ A, W, E, S, O, T, M, and H are not necessarily distinct positive integers from $0$ to $9$. The goal is to find the maximum possible value of $MATH.$ If ...
• 457
359 views

### Cryptic Division 8: Business as Usual

This is a word division puzzle which uses cryptic clues. If you're unfamiliar with either or both of those, you can click the associated link. In order to solve the alphametic, you'll first need to ...
• 10.4k
285 views

### Cryptic Division 7: Nothing Under the Tree

This is a word division puzzle which uses cryptic clues. If you're unfamiliar with either or both of those, you can click the associated link. In order to solve the alphametic, you'll first need to ...
• 10.4k
143 views

### Cryptic Division 6: It's All Gravy

This is a word division puzzle which uses cryptic clues. If you're unfamiliar with either or both of those, you can click the associated link. In order to solve the alphametic, you'll first need to ...
• 10.4k
367 views

### Cryptic Division 5: Devil Magic

This is a word division puzzle which uses cryp- actually, this one uses printer's devilry. If you're unfamiliar with either or both of those, you can click the associated link. In order to solve the ...
• 10.4k
491 views

### Shiny cryptarithm

Here's a little puzzle I made today: $$\sqrt{\text{ILLUMINATE}^{\mathstrut}} = \text{LIGHT}$$ Most usual rules of alphametic puzzles apply here: the same letter always represents the same digit, and ...
• 1,160
727 views

### Cryptic Division 4: Oops! All Math!

This is a word division puzzle which uses cryptic clues. If you're unfamiliar with either or both of those, you can click the associated link. In order to solve the alphametic, you'll first need to ...
• 10.4k
453 views

### Cryptic Division 3: Stuck Together

This is a word division puzzle which uses cryptic clues. If you're unfamiliar with either or both of those, you can click the associated link. In order to solve the alphametic, you'll first need to ...
• 10.4k
180 views

### Cryptic Division 2: Staying on Brand

This is a word division puzzle which uses cryptic clues. If you're unfamiliar with either or both of those, you can click the associated link. In order to solve the alphametic, you'll first need to ...
• 10.4k
375 views

### Solidarity with the Moderation Team (A Cryptic Division Puzzle)

Alternative title: Cryptic Division 1: Never Give Up This is a word division puzzle which uses cryptic clues. If you're unfamiliar with either or both of those, you can click the associated link. In ...
• 10.4k
2k views

### The Era Of The Ear

Given this information, \begin{matrix} & E & R & A \\ + & E & A & R \\ \hline & A & R & E \\ \end{matrix} What is the sum of $A$, $R$, and $E$ and if you can ...
• 574
996 views

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### Solving Kordemsky's Prime Cryptarithm and proving uniqueness

This is a cryptarithm from Kordemsky's The Moscow Puzzles, problem 273 to be precise. Each digit is a single-digit prime ($2,3,5,$ or $7$). Find a solution and prove that it is unique. \begin{array}{...
• 153
1k views

### Long division cryptarithm - KLMN/HIJ = K

The problem statement: Solve the following long division problem. Each letter represents a unique digit (0-9) ...
• 71
128 views

### Does this alphametic have only one solution?

I could only get one answer for the following alphametic. Can you confirm? ETAS / (E * T * A * S) = SEAT - SATE All 4 lettes are separate digits from 1 to 9. ETAS, SEAT and SATE are 4 digit numbers ...
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269 views

### Addition table with hidden digits

Similar to the previous puzzle, find the values behind the letters. ...
373 views

### Alphametic puzzle for Halloween

An alphametic puzzle for Halloween: OCT * 31 = TRICK + TREAT
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1 vote
146 views

### Sum with letters, find the values

In the following addition setup, each letter correspond to a unique digit. Find the different values of the letters. Requirement: r is not equal to 0. ...
322 views

### Coffee theorem puzzle [duplicate]

I am back yet with another puzzle, my last one was made this morning, and this one is a copied one from an app/website called Brilliant. So, this is especially for those who do not have Brilliant ...
1 vote
251 views

### Cryptarithmetic: 1+1=0?

Transcription: ...
542 views

### A greedy cryptarithm

Find all solutions to EAT ATE + EATEN ------- YUMMY Where different letters represent different digits from 0 to 9. Problem by myself
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362 views

### Old Bob is ill : Said Grandpa

“Darn good computer, this new one I just got. So you can have my old one”, said Grandpa to my sister. I was impressed, but a bit cynical. “What’s the catch?” Grandpa smiled. “Just guess the 4 letter ...
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1k views

### Three part chess problem

Three separate puzzles: ...
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603 views

### FORTY9 Cryptarithm

This puzzle is due to the amazing Martin Gardner and I found it here. Can you find which digit each letter represents to make the following sum work? Each letter is a single unique digit between 0 ...
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244 views

### What number does each color in the image represent?

This puzzle was part of a competition at my school, over two weeks ago. The school never disclosed the answer, so I'd like to check that I answered it correctly. What number does each color in the ...
212 views

### Solving an alphametic puzzle by eavesdropping

I took part in a meeting of puzzle maniacs. I overheard a conversation between two persons. A: Hey, solve this alphametic problem. LHS is a square of two-digit number and RHS is a four-digit number. ...
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187 views

### Guess the missing digits [duplicate]

Can you guess the missing digits in the following multiplication? ??? x 3? = ???? Digits from 1 to 9 appear exactly once each. The goal is to solve it with as little calculation as possible.
4k views

### Four + Five = Nine

Obviously, FOUR + FIVE = NINE, but what if each letter is assigned a digit (0, 1, 2, 3, 4, 5, 6, 7, 8, 9), and two different letters can't be assigned the same digit? Fill in numbers for the ...
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199 views

### Bilingual cryptarithm

This is a cryptarithm puzzle I found in a mathematical contest in 2004. The questions were available on the website of the of the AQJM (in french, Association Québécoise des jeux mathématiques) and we ...
1 vote
477 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:     $ABCDE$ $+$ $CFGH$   --------...
• 145
184 views

### Greedy for Cash

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