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

by : $103$

 * 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?