Henry Ernest Dudeney/Puzzles and Curious Problems/104 - Letter-Figure Puzzle

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?

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