PSEUDO-TELEPATHY 127

The result is always the same. The proof is similar, it being
again remembered that it is necessary to borrow when sub-
tracting.

Original x Z y
Reverse y Z x

Subtract (x~y——1) (1942—2) (y+12—x)

Reverse (y+12—%) (194z2—2) (x—y—1)

Add (—1+12) (T eR) (12 —1)
A 38 II
= 12 18 II

 

It is worthy of note that in both the above examples the
third and fourth numbers are always multiples of g9 (that is,
one less than 100), while the third and fourth sums of money
are always multiples of 19s. 114d. (that is, one penny less than
L1Y.

There are many ways of ascertaining the exact nature of’
a number selected by another person by instructing him to
subject the number to various mathematical processes. A few
examples follow. They are usually clothed in mystical sig-
nificance by the performer telling the other person to select
a particular number known only to himself, such as his age
in years or his telephone number or the number of his house.
Here they are shown in tabulated form, being a summary of
the instructions issued by the performer.

EXAMPLE 1

(a) When the number is selected, treble it.

(6) Divide the result by 2 (adding } to the result only if
this is necessary to make it a whole number).

(¢) Treble the result in (b).

(d) Divide by g. This will give a certain result, either being
a whole number only or being a whole number and
a fraction. The fraction, if any, is ignored. We are
interested only in the whole number, which the
selector is asked to reveal and which we shall show

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