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.
148
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Cryptic Division 9: Sent to the Clue Factory
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 ...
6
votes
2
answers
994
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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.
6
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5
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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 ...
10
votes
1
answer
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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 ...
8
votes
2
answers
289
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 ...
7
votes
1
answer
145
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 ...
8
votes
1
answer
370
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
votes
2
answers
496
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 ...
11
votes
1
answer
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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 ...
17
votes
1
answer
458
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
votes
2
answers
191
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 ...
11
votes
1
answer
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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 ...
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votes
8
answers
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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 ...
12
votes
1
answer
998
views
Laughing At The Wrong Time
Uh...
Every letter corresponds to a different digit and 0 cannot be a leading digit.
Find $HA+UH$ if $$\begin{array}{cccc}
& H & A \\
+ & H & A \\
+ & H & A \\
+ & H &...
4
votes
1
answer
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views
Need help solving a multiplication puzzle
The puzzle goes as follows:
Each letter corresponds to a number, what is the result of the
multiplication?
RQQ
× P
___
QST
I'm not sure where to start with this puzzle. I know that each letter ...
5
votes
1
answer
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An alphametic division of all different digits
Here is a division process: ABCD / PQ = XYZ with remainder R.
The ten letters A,B,C,D,P,Q,X,Y,Z,R are all different digits.
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votes
1
answer
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How to find the value that makes this addition equation work without using a computer?
The following image represents the addition of 2 five-digit numbers, where 10 different letters represent 10 different numbers (0~9). What does PUZZLE equal? (There are two possibilities and a ...
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An alphametic puzzle about Charles Darwin
Charles Darwin was born on February 12, 1809.
https://en.wikipedia.org/wiki/Charles_Darwin
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1
answer
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An alphametic puzzle about Thomas Edison
Thomas Alva Edison was born on February 11, 1847.
https://en.wikipedia.org/wiki/Thomas_Edison
3
votes
1
answer
146
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An alphametic puzzle about Jules Verne
Jules Verne was born on February 8,1828.
https://en.wikipedia.org/wiki/Jules_Verne
2
votes
1
answer
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In honor of Franz Schubert’s birthday, January 31
Franz Peter Schubert was born on January 31, 1797.
Here is a skeletal division. Each music note denotes an odd or even digit.
https://en.wikipedia.org/wiki/Franz_Schubert
5
votes
2
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In honor of Olof Palme’s birthday, January 30
Olof Palme, the prime minister of Sweden, was born on January 30, 1927.
https://en.wikipedia.org/wiki/Olof_Palme
Each Swedish flag can be assigned arbitrary digit.
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2
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In honor of Anton Chekhov’s birthday, January 29
Anton Pavlovich Chekhov, the Russian playwriter and novelist was born on January 29, 1860.
https://en.wikipedia.org/wiki/Anton_Chekhov
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1
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In honor of Lewis Carroll’s birthday, January 27
Charles Lutwidge Dogdson, a.k.a. Lewis Carroll, is famous for his “ Alice's Adventures in Wonderland.”
He was born on January 27, 1832.
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In honor of David Hilbert's birthday, January 23
Here is a skeletal division to celebrate David Hilbert's birthday.
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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.
...
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0
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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 ...
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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.
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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:
...
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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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votes
2
answers
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Pandigital fraction sum that evaluates to 1
Fill in the nine X spots in the following equation using each of 1, 2, ..., 9 exactly once, so that the equation is satisfied. The XX in the denominator denotes concatenation of two digits.
$$
\frac{X}...
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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}{...
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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)
...
2
votes
1
answer
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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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answers
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Addition table with hidden digits
Similar to the previous puzzle,
find the values behind the letters.
...
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Alphametic puzzle for Halloween
An alphametic puzzle for Halloween:
OCT * 31 = TRICK + TREAT
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vote
2
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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.
...
0
votes
2
answers
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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 ...
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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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votes
1
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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 ...
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answer
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Three part chess problem
Three separate puzzles:
...
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1
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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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votes
2
answers
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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 ...
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votes
2
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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.
...
3
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1
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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 ...
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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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1
answer
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Alphametic from programming class
The below question is from one of my assignments for Login Programming for Artificial Intelligence.
ABCDE
CFGH
--——-
DEHIJ
Each letter A,..., J represents a ...
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2
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Greedy for Cash
Solve this Cryptarithm
GIVE
+ MORE
---------
MONEY
Referenced from the Britannica Encyclopaedia No. 25 - "Number Prague"