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132 THE FASCINATION OF NUMBERS

Any number from 1 to 63 may be found by adding to-
gether the first numbers in each set in which the particular
number appears. The number 63 appears in each set and
the total of all the first numbers in each set is

I+2+4+48+16+32=F63
Anyone who selects a number is therefore asked to state

in which sets of numbers it appears. The addition of the first
numbers in the sets mentioned will give the number selected.

 

 

 

 

 

Set A Set B Set C
8 27 46 I 23 45 16 27 54
9. a8 = gy $ a4 £) a8 58
10 29 56 5 27 49 18 29 56
II 30 57 7 29 51 19 30 57
12 31 58 9 31 53 20 31 58
I3 (40 . 59 11 33 55 21 48 59
14 41 60 13 35 57 22 49 60
15 42 61 15 37 59 23 50 61
24 43 62 I 39 61 24 51 62
25 ‘44 .03 B e 2550 63
26 45 21 43 26 53
Set D Set E Set F

- SRS . VORE 32 43 54 RO s
Bk e Ry 33 44 55 § S LR Giey
R0 10800 1 5 34 .45 56 R SR
7. .80, 53 35 . 49 57 2 L0 " )
3 SO, | 54 36 47 58 BT P g
13 .96 55 37 48059 11 34 55
14 37 6o 38 . 49 . .60 14 35 58
15 38 61 39 50 61 15 38 59
20 39 62 40 51 62 18 39 62
21 44 63 41 52 63 19 42 63
22 45 42 O3 . 22 43

 

 

The ‘Counting’ Cards. Any number may be made up by adding
together the first numbers on each card, or set, on which the number
appears. Thus: 47=8+4+1+44+32+2.

Another basic number property which may be made the
basis for similar amusement is as follows. Take any number
of two digits and reverse the digits. Then the difference