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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A four digit number using exact same 4 digits

ABCD is a 4 digit number where A,B,C and D are 4 distinctly separate digits between 1 and 9. Using any of the following math operations and the digits A,B,C and D exactly once get the number ABCD. ...
124 views

General Approach to Solving Cryptarithms

I have recently started honing my problem-solving skills, starting with number-related puzzles. Cryptarithms have appeared frequently, so I was wondering whether there is some sort of general approach ...
3k views

If O^3=DAD and (IM)^2=MOM, then what is MAID?

If $O^3=DAD$ and $(IM)^2=MOM$, then what is $MAID$? Source: Taken from the book Neurone Abaro Onuronon by Muhammad Zafar Iqbal.
288 views

Multiplying English numbers is strange too

It seems that the English-speaking people multiply the numbers in the very same way that the Portuguese add them: while the latter say that 2+2=8, the former claim that 2×2 is 8: ...
434 views

A Cryptic Cryptarithm

An entry in Fortnightly Topic Challenge #48: Unusual tag mix Solve these puzzles to reveal why I made them. Matriarch mostly prepared oats for American airline location? (8) AIRLINE + LOCATION = ? 51 ...
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Long division cryptarithm - KLMN/HIJ = K

The problem statement: Solve the following long division problem. Each letter represents a unique digit (0-9) ...
119 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 ...
253 views

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

Alphametic puzzle for Halloween

An alphametic puzzle for Halloween: OCT * 31 = TRICK + TREAT
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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. ...
265 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 ...
235 views

Cryptarithmetic: 1+1=0?

Transcription: ...
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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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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 ...
977 views

Three part chess problem

Three separate puzzles: ...
397 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 ...
167 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 ...
183 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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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.
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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 ...
163 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 ...
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Math puzzle with logic programming

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

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

Solve this Alphametic puzzle    T H I S + S I Z E ========= S H O R T
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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) ...
228 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 ...
157 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....
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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: $COCA + COLA = SODA$
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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.
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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: ...
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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 ...
598 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, ...
786 views

No spanish required

Each letter represents a digit, so what is Mucho and Poco (although who's to say?) ...
226 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 ...
801 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; and Jeremy. ...
403 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: * ...
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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 ...
757 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: ...
287 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 ...
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 ...