Henry Ernest Dudeney/Modern Puzzles/76 - The Nine Volumes/Solution

Modern Puzzles by Henry Ernest Dudeney: $76$

The Nine Volumes

In a small bookcase were arranged $9$ volumes of some big work,

numbered from $1$ to $9$ inclusive,

on $3$ shelves exactly as shown:

  26  5  9
         7
 184     3

The $9$ digits express money value.

You will see that they are so arranged that $\pounds 26 \ 5 \shillings \ 9 \oldpence$ multiplied by $7$ will produce $\pounds 184 \ 0 \shillings \ 3 \oldpence$

Every digit represented once, and yet they form a correct sum in the multiplication of money.

But in the blank shillings space in the bottom row is a slight defect, and I want to correct it.

The puzzle is to use the multiplier $3$, instead of $7$, and get a correct result with the $9$ volumes, without any blank space;

with pounds, shillings and pence all represented in both the top and bottom line.

Solution

Dudeney offers up $2$ solutions:

 21  8  7
        3
 --------
 64  5  9

  8  5  7
        3
 --------
 24 16  9

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Solutions: $76$. -- The Nine Volumes