THE CANTERBURY PUZZLES
our friends from the Puzzle Club accidentally appeared on the scene.
This is what happened: When Lamson and Marsh reached the
stile, Marsh alone walked to the top of the cliff, with Lamson's
larger boots in his hands. Arrived at the edge of the cliff, he
changed the boots and walked backwards to the stile, carrying his
own boots.
This little manoeuvre accounts for the smaller footprints showing
a deeper impression at the heel, and the larger prints a deeper
impression at the toe, for a man will walk more heavily on his heels
when going forward, but will make a deeper impression with the
toes in walking backwards. It will also account for the fact that
the large footprints were sometimes impressed over the smaller ones,
but never the reverse ; also for the circumstance that the larger foot-
prints showed a shorter stride, for a man will necessarily take
a smaller stride when walking backwards. The pocket-book was
intentionally dropped, to lead the police to discover the footprints,
and so be set on the wrong scent.
64.—
The Runaway Motor-Car.
Russell found that there are just twelve five-figure numbers that
have the peculiarity that the first two figures multiplied by the last
three—all the figures being different, and there being no 0—will
produce a number with exactly the same five figures, in a different
order. But only one of these twelve begins with a 1, namely,
14926. Now, if we multiply 14 by 926, the result is 12964,-
which contains the same five figures. The number of the motor-
car was therefore 14926.
Here are the other eleven numbers :—24651, 42678, 51246,
57834, 75231, 78624, 87435, 72936, 65281, 65983 and 86251.
65.—
The Mystery of Ravensdene Park-
The diagrams show that there are two different ways in which the
routes of the various persons involved in the Ravensdene Mystery
may be traced, without any path ever crossing another. It depends
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