Stack Exchange Network

Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange

Questions tagged [alphametic]

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

0
votes
2answers
70 views

Uvc with Lots of Magic… Enjoy the Show!

Puzzling Weekend! UVc is back again with Lots of Magic... Enjoy the Show! Given: LOTS is being multiplied by F to yield MAGIC. Digit 0 to 9 are all represented by ten different letters in this ...
7
votes
1answer
342 views

It is as easy as A B C, Figure out U V C from the given relationship

Given $ U, V, C $ are three distinct digits, figure them out from the following relation: $$ \overline{CCC} = \overline{UVUVUV} \div \left ( \overline{UV} \times \overline{UV} \right) $$
4
votes
0answers
215 views

What are the alphabets in the question mark?

BDCBAF :: ADBFCC :: CEBCAG = PDL :: XRI :: ? This alphametic question actually comes from the puzzles made by my friend. He gave me his puzzles recently but I couldn't figure it out. Any clues? ...
5
votes
2answers
639 views

Madam I m Adam..please don’t get mad..you will no longer be prime

Take away $ \overline{MAD} $ from $ \overline{MADMADAM} $ to make her prime. $ \overline{ADAM} $ is prime too if he does not get mad: $ \overline{MADADAM}. $ $ M, A, D $ are 3 distinct digits that ...
10
votes
3answers
440 views

No won won? Wone Won

Find four different digits $ W, O, N, E $ that satisfies the equation $$ \overline{NO} \times \overline{WON} \times \overline{WON} = \overline{WONEWON} $$
6
votes
1answer
245 views

It is as simple as ABC

Find three different digits $ A, B, C $ that satisfies the equation $ \overline{ABC} \times \overline{AA} \times \overline{AB} \times C = \...
6
votes
3answers
677 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.
9
votes
3answers
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: ...
6
votes
2answers
328 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 ...
7
votes
3answers
550 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, ...
7
votes
3answers
633 views

No spanish required

Each letter represents a digit, so what is Mucho and Poco (although who's to say?) ...
3
votes
2answers
158 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 ...
1
vote
2answers
544 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; ...
11
votes
1answer
345 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: * ...
10
votes
2answers
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 ...
0
votes
3answers
667 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: ...
0
votes
2answers
239 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 ...
11
votes
1answer
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 ...
4
votes
7answers
320 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 ...
1
vote
2answers
135 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 ...
2
votes
3answers
281 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: ...
7
votes
1answer
324 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 ...
6
votes
1answer
196 views

Archaeological alphametic

Enigmarchaeologists uncovered an ancient Roman precursor to our familiar, and comparatively dignified,   SEND + MORE = MONEY  alphametic.   ...
4
votes
1answer
198 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 ...
12
votes
3answers
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 ...
5
votes
1answer
520 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 ...
10
votes
2answers
803 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 ...
6
votes
3answers
337 views

Alphametic puzzle for year 2017

In east Asia 2017 is the year of a rooster. $$ABCD=\left(A \times CA^A + \frac{C}{D} \right) \times D$$
43
votes
9answers
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 ...
5
votes
1answer
715 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. $$\frac{ab}{c} = de \times f = gh - i$$
-2
votes
2answers
221 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?
5
votes
1answer
99 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 ...
7
votes
3answers
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 ...
6
votes
3answers
814 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 ...
6
votes
2answers
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 ...
4
votes
2answers
302 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 ...
2
votes
3answers
562 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 ...
8
votes
2answers
438 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 ...
32
votes
3answers
1k 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 ...
5
votes
1answer
268 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.
1
vote
1answer
458 views

The Football Murder Mystery [duplicate]

"THE COACH IS DEAD". That's the news buzzing around the country. There always was a sort of hatred towards the coach after he failed to guide the Team into the Olympics in football even after ...
1
vote
1answer
436 views

A complicated puzzle

Can you solve this complicated puzzle? Please post the secret word, and the explanation in your answer. Hint: Hint #2:
5
votes
3answers
1k views

Puzzle of Alphabet addition

This is an alphametic - Each of the alphabets in the below represents a unique digit in base 10 such that the following representation holds true. ...
11
votes
6answers
2k views

Coke alphametic

The only thing I love more than Coke is numbers divisible by 73. I claim I have found a unique assignment of distinct digits $0,1,...,9$ to the symbols $ C, O, L,$ and $A$ such that $73$ divides the ...
5
votes
2answers
439 views

Numbers = letters 2.0

SIX + SEVEN + SEVEN = TWENTY This is a standard alphametic, no hidden rules. (An alphametic is a puzzle in which every letter corresponds to exactly one number, ...
3
votes
4answers
404 views

Letters = numbers

$ABAC + DBAC = ECFFC$ Each letter represents one number from 0-9. Every number is represented by only one letter. Find all the numbers used in the puzzle. There are multiple answers to this puzzle. ...
13
votes
1answer
860 views

Finger the digit

Officials acquired two anonymized self texts by the G Gang member known as i, and hope these will help you identify ...
3
votes
1answer
161 views

An alphametic for Nikolai Gogol

"Diary of a Madman" (Russian: Записки сумасшедшего, Zapiski sumasshedshevo) is a short story by Nikolai Gogol. MAD * MAN = ASYLUM Which digit does each ...
12
votes
1answer
220 views

An alphametic for René Descartes

The best known philosophical statement by René Descartes is "Cogito ergo sum" (French: Je pense, donc je suis; English: I think, therefore I am). ...
1
vote
3answers
315 views

Alice and Bob Alphametic

Let me tell you a story about Alice and Bob. When they are together it's all fun and games, we know that. But what happens when they are not together? I'll tell you. Alice has an odd feeling. It might ...