Henry Ernest Dudeney/Puzzles and Curious Problems/104 - Letter-Figure Puzzle
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Puzzles and Curious Problems by Henry Ernest Dudeney: $104$
- Letter-Figure Puzzle
- It is not difficult, if properly attacked:
\(\text {(0)}: \quad\) | \(\ds A \times B\) | \(=\) | \(\ds B\) | |||||||||||
\(\text {(1)}: \quad\) | \(\ds B \times C\) | \(=\) | \(\ds A C\) | |||||||||||
\(\text {(2)}: \quad\) | \(\ds C \times D\) | \(=\) | \(\ds B C\) | |||||||||||
\(\text {(3)}: \quad\) | \(\ds D \times E\) | \(=\) | \(\ds C H\) | |||||||||||
\(\text {(4)}: \quad\) | \(\ds E \times F\) | \(=\) | \(\ds D K\) | |||||||||||
\(\text {(5)}: \quad\) | \(\ds F \times H\) | \(=\) | \(\ds C J\) | |||||||||||
\(\text {(6)}: \quad\) | \(\ds H \times J\) | \(=\) | \(\ds K J\) | |||||||||||
\(\text {(7)}: \quad\) | \(\ds J \times K\) | \(=\) | \(\ds E\) | |||||||||||
\(\text {(8)}: \quad\) | \(\ds K \times L\) | \(=\) | \(\ds L\) | |||||||||||
\(\text {(9)}: \quad\) | \(\ds A \times L\) | \(=\) | \(\ds L\) |
- Every letter represents a different digit, and, of course, $A C$, $B C$ etc., are two-figure numbers.
- Can you find the values in figures of all the letters?
Click here for solution
Historical Note
Dudeney attributes this to a correspondent identified as C. E. B., whose identity has not been ascertained.
Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $104$. -- Letter-Figure Puzzle
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Cryptarithm Puzzles: $159$. Letter-Figure Puzzle