Henry Ernest Dudeney/Puzzles and Curious Problems/116 - Transferring the Figures

Puzzles and Curious Problems by Henry Ernest Dudeney: $116$

Transferring the Figures

If we wish to multiply $571 \, 428$ by $5$ and divide by $4$,

we need only transfer the $5$ from the beginning to the end for the correct answer $714 \, 285$.

Can you find a number that we can multiply by $4$ and then divide the product by $5$ in the same simple manner,

by moving the first figure to the end?

Of course $714 \, 285$, just given, would do if we were allowed to transfer from the end to the beginning.

But it must be from the beginning to the end!

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Various Arithmetical and Algebraical Problems: $116$. -- Transferring the Figures
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $190$. Transferring the Figures