Henry Ernest Dudeney/536 Puzzles & Curious Problems/102 - An Exceptional Number/Solution
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536 Puzzles & Curious Problems by Henry Ernest Dudeney: $102$
- An Exceptional Number
- A number is formed of $6$ successive digits (not necessarily in regular order)
- so that the number formed by the first $2$ multiplied by the $3$rd digit will produce the number expressed by the last $3$.
Solution
We have:
- $9 \ 4 \ 7 \ 6 \ 5 \ 8$
as:
- $94 \times 7 = 658$
Historical Note
Martin Gardner includes this variant on $51$ - An Exceptional Number from Dudeney's Modern Puzzles as an aside in the Answers section of his $1968$ repackaging 536 Puzzles & Curious Problems.
He attributes its discovery to Victor Meally.
Sources
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Answers: $102$. An Exceptional Number