Henry Ernest Dudeney/Puzzles and Curious Problems/360 - Fort Garrisons/Solution

Puzzles and Curious Problems by Henry Ernest Dudeney: $360$

Fort Garrisons

Here we have a system of fortifications.

It will be seen that there are ten forts, connected by lines of outworks,

and the numbers represent the strength of the small garrisons.

The General wants to dispose these garrisons afresh so that there shall be $100$ men in every one of the five lines of four forts.

The garrison must be moved bodily -- that is to say, you are not allowed to break them up into other numbers.

Solution

The diagram shows one way of doing it.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Solutions: $360$. -- Fort Garrisons
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Answers: $397$. Fort Garrisons