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.

Alphametic puzzles involve mathematical equations where the digits have been replaced with letters or symbols.

The puzzle is then to reverse this process, and to determine which letters represent which digits by using the information given via the puzzle to narrow down the options. The solution should ideally be unique.

For example $A+B=AC$ has the unique solution $A=1, B=9$ and $C=0$.

You should use this tag for questions concerning verbal arithmetic creation, solutions, and strategies.

Standard assumptions:

  • Different letters represent different digits
  • Leading digits are always non-zero

Verbal arithmetic at Wikipedia.

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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 offer a solution, please add your reasoning. …
Marius
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No won won? Wone Won

Find four different digits $ W, O, N, E $ that satisfies the equation $$ \overline{NO} \times \overline{WON} \times \overline{WON} = \overline{WONEWON} $$
Uvc
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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 had about two months to give our…
Alain Remillard
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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.
P.-S. Park
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In honor of David Hilbert's birthday, January 23

Here is a skeletal division to celebrate David Hilbert's birthday.
P.-S. Park
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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 = \overline{ABCABC}. $
Uvc
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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.
Uvc
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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 alphametic $$\text{A} \times \text{SILENT} +…
Jamal Senjaya
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Alphametic puzzle for Halloween

An alphametic puzzle for Halloween: OCT * 31 = TRICK + TREAT
P.-S. Park
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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.
P.-S. Park
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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. Edit: Here is a small mini-puzzle using the same…
anna328p
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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
P.-S. Park
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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
P.-S. Park
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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: a number can not start with the digit 0 each letter is a unique digit which letter…
Itay Sela
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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
P.-S. Park
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