Henry Ernest Dudeney/Puzzles and Curious Problems/103 - Expressing Twenty-Four

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?

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