Henry Ernest Dudeney/Modern Puzzles/77 - The Ten Volumes/Solution

Modern Puzzles by Henry Ernest Dudeney: $77$

The Ten Volumes

As an extension of the last puzzle, let us introduce a $10$th volume marked $0$.

If we arrange the $10$ volumes as follows, we get a sum of money correctly multiplied by $2$.

  54  3  9
         2
 108  7  6

Can you do the same thing with the multiplier $4$ so that the $9$ digits and $0$ are all represented,

once and once only?

Solution

  81  6  9
         4
 ---------
 325  7  0

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Solutions: $77$. -- The Ten Volumes