Henry Ernest Dudeney/Puzzles and Curious Problems/108 - The Nine Digits
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Puzzles and Curious Problems by Henry Ernest Dudeney: $108$
- The Nine Digits
- It will be found that $32 \, 547 \, 891$ multiplied by $6$ (thus using all the $9$ digits once, and once only)
- gives the product $195 \, 287 \, 346$ (also containing all the $9$ digits once, and once only).
- Can you find another number to be multiplied by $6$ under the same conditions?
- Remember that the $9$ digits must appear once, and once only, in the sums multiplied and in the product.
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Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $108$. -- The Nine Digits
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $136$. The Nine Digits