# Questions tagged [cryptarithm]

A cryptarithm is a numeric puzzle in which a mathematical equation is given where the digits are replaced by letters, the object being to recover the original equation. The canonical example is SEND + MORE = MONEY, which has the unique solution 9567 + 1085 = 10652. There are variants, such as long division problems where most of the digits are replaced by asterisks.

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### Solving for the digits in WHITE+WATER=PICNIC

I'm writing solutions for students who are taking a competition exam and I took problems from old purple comet competition problems. This problem is the last one from the 2004 middle school contest ...
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### Alphanumeric Puzzle multplication : $OW\times HE=WWW$ [closed]

$OW\times HE=WWW$ where $O,W,H,E$ are digits. I've gathered that $$W\in\{2,3,4,5,6,7,8,9\}$$ $$E\in\{1,3,6,7,9\}$$ but I can't seem to move past it.
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### Help solving a digit and word code problem/riddle: sum of four "ONE"s is "TEN"

Replace each letter by a digit. The same digit must represent each letter, and no beginning letter of a word can be zero. No two letters can be the same number. Find the digits represented by the ...
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### How did we know that X must be equal to 1? [closed]

I did not understand the solution to this problem
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### Multiplication Question

I have this question for my math class. I've been working on it for about an hour. Here it is: Each of the letters, F,I,V,E, in this multiplication stands for a different digit. What are the values ...
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### If $a,b,c\in N$, such that $aaaaaa=b*c*bc*(b+b+c)*(c+c-b)(c-b)$, then find $a,b,c$.

If $a,b,c\in N$, such that $aaaaaa=b*c*bc*(b+b+c)*(c+c-b)(c-b)$, then find $a,b,c$. Where $aaaaaa$ is a six digit no. with each digit equal to $a$ and $bc$ is a 2-digit no. with digits $b$ and $c$. I ...
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### Solving $DEF+FEF=GHH$, $KLM+KLM=NKL$, $ABC+ABC+ABC=BBB$

She visits third class and is $8$ years old (you can imagine how ashamed I felt when I said so to her). I helped her with lots of maths stuff today already but this is very unknowable for me. Sorry it'...
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### Find the digit represented by C.

I am self-studying Multiplication and Division. This is a problem I encountered and have hard time with it. I have no clue where to start. In fact, I have read this problem many times, wondering ...
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### An arithmetic puzzle

My answer for this problem is far from that given by the answer sheet. In the multiplication $abcde \times e=edade$, each letter represents a different digit. what digit does the letter C represent?...
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### Is there an encryption scheme that provides $Pr\{M_1 = m_1\wedge M_2 = m_2 | C_1 = c_1 \wedge C_2 = c_2\} = Pr\{M_1 = m_1 \wedge M_2 = m_2\}$

Question: Consider the following definition of perfect secrecy for the encryption of two messages.An encryption scheme (Gen, Enc, Dec) over a message space M is perfectly-secret fortwo messages if ...
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### Solving an algorithm math problem

if x, y and z each represent a different digit from 0 to 9, what is the value of (x)(y)(z)? 4z 27 +x5 ____ y14 I answered it like this: ...
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### A number 47_ _74 is a multiple of consecutive numbers. Find the numbers.

I had recently solved a problem. A number 47_ _74 is multiple of at least two consecutive numbers. Find the numbers. The list of numbers may be of any length $\ge 2$. I first saw that if they were ...
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### Maths for the Diffie Hellman

With respect to the maths behind the Diffie Hellman Key exchange algorithm. Why does: (ga mod p)b mod p = gab mod p It might be fairly obvious, but what basic maths guarantees this? Why does the ...
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### Cryptarithm - Interesting Math Problem

This is a very interesting cryptarithm that I came across in an old textbook of mine. It is named accordingly as a tribute to the late Bob Marley (singer). Cryptarithm - Tribute to Bob Marley In the ...
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### Solving cryptarithmetic problems

I was recently trying to solve cryptarithmetic problems like: F Y H * E W T -------- Z E T F E K Z Z Y Z T X ------------ Y F Y W E F ...
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### Alphametics Question

In the figure below, each distinct letter represents a unique digit such that the arithmetic sum holds. If the letter L represents 9, what is the digit represented by the letter T? ...
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### help me to solve this Cryptarithm problem

Hello I tried various things but ain't getting where to begin, if anybody would let me know how to solve this it will be of great help P X B * W Y A        &...
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### How to begin solving this cyrptarithm?

Anybody please help me in how to begin with this cryptarithm. I tried to find for 0,1,5,6,9 but none of them are clearly recognizable.. o u i * o u i ...
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### How to solve a cryptarithm with multiple conditions

I'm trying to solve a cryptarithm that must meet all of the following conditions: one + one = two seven is prime nine is a perfect square More specifically, i'm trying to find the ...
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### How to solve multiplication alphametics?

I am referring to puzzles like these, where every letter represents a unique number (0-9): ...
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### How to solve this alphametic (verbal arithmetic)?

I know I can get the answer for this puzzle but I'm struggling to see how to solve it. Every letter represents a different number (0-9): ...
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### What is the base for the following number system?

So there was a spaceship sent back with the following picture that assumed to constitute an addition. What is the base of the number system? ...
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### How to solve a cryptarithm?

Given multiplication is \begin{array}{cccccc} & & & P & E & N \\ & & & I & N & K \\\hline & & L & K & P & R \\ & ...
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I have a problem I tried to solve, but couldn't because I don't know the method to solve it and I've never come across such problem. Here's the problem. $(PQ)²=RSP$ Where $P, Q, R, S$ are distinct ...