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

1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems:

Arithmetical and Algebraical Problems
Skeleton Puzzles
$147$ -- An Absolute Skeleton


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