Henry Ernest Dudeney/Puzzles and Curious Problems/110 - An Absolute Skeleton/Mistake
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Source Work
1932: Henry Ernest Dudeney: Puzzles and Curious Problems:
- Arithmetical and Algebraical Problems
- Digital Puzzles
- $110$ -- An Absolute Skeleton
- Digital Puzzles
1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems:
- Arithmetical and Algebraical Problems
- Skeleton Puzzles
- $147$ -- An Absolute Skeleton
- Skeleton Puzzles
Mistake
- It can soon be discovered that the divisor must be $312$,
- that $9$ cannot be in the quotient because $9$ times the divisor contains a repeated figure.
- We therefore know that the quotient contains all the figures $1$ to $8$ once, and the rest is comparatively easy.
But of course his first deduction is not necessarily the case, as we have a second solution, where the divisor is $310$.
Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Solutions: $110$. -- An Absolute Skeleton
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Answers: $147$. An Absolute Skeleton