r his
arm unless he was accompanying the owner. He was therefore walking with
the lady.

As they were talking a waiter brought a telegram to Baynes.

"Here you are," he said, after reading the message. "A wire from Dovey:
'Don't bother about photo. Find lady was the gentleman's sister, passing
through Paris.' That settles it. You might notice that the lady was
lightly clad, and therefore the coat might well be hers. But it is clear
that the rain was only a sudden shower, and no doubt they were close to
their destination, and she did not think it worth while to put the coat
on."

63.--_The Cornish Cliff Mystery._

Melville's explanation of the Cornish Cliff Mystery was very simple when
he gave it. Yet it was an ingenious trick that the two criminals adopted,
and it would have completely succeeded had not 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 footprints 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 put 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, 7