Henry Ernest Dudeney/Modern Puzzles/57 - A Misunderstanding
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Modern Puzzles by Henry Ernest Dudeney: $57$
- A Misunderstanding
- An American correspondent asks me to find a number composed of any number of digits that may be correctly divided by $2$
- by simply transferring the last figure to the beginning.
- He has apparently come across our last puzzle with the conditions wrongly stated.
- If you are to transfer the first figure to the end it is solved by $315 \, 789 \, 473 \, 684 \, 210 \, 526$,
- and a solution may easily be found from this with any given figure at the beginning.
- But if the figure is to be moved from the end to the beginning, there is no possible solution for the divisor $2$.
- But there is a solution for the divisor $3$.
- Can you find it?
Click here for solution
Sources
- 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $57$. -- A Misunderstanding
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $108$. A Misunderstanding