Henry Ernest Dudeney/Puzzles and Curious Problems/103 - Expressing Twenty-Four
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Puzzles and Curious Problems by Henry Ernest Dudeney: $103$
- Expressing Twenty-Four
- In a book published in America was the following:
- "Write $24$ with three equal digits, none of which is $8$.
- (There are two solutions to this problem.)"
- Of course, the answers given are $22 + 2 = 24$, and $3^3 - 3 = 24$.
- Readers who are familiar with the old "Four Fours" puzzle, and others of the same class,
- will ask why there are supposed to be only these solutions.
- With which of the remaining digits is a solution equally possible?
Click here for solution
Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $103$. -- Expressing Twenty-Four
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $137$. Expressing Twenty-Four