| THE ADDITION OF THE aGE. (Charles Nagle) |

When Mr. Nagle first showed this to me I was much impressed by the fact that here was an old mathematical trick remade into a perplexing presentation which would fool those in the know.

I'll explain as I go along. First make a 25 square diagram. Ask the onlooker to give you five two figure numbers one after the other and you write them in order down the left side of the square. Then you follow this by writing five more down the right side. Now dot the diagonal row of squares from the upper left corner to the lower right and explain that you will leave this row vacant for the moment. Using the numbers displayed you fill the squares, one figure to each in a very haphazard order (never the same twice). However, as the case must be, there is method in your mathemadness.

Figures you write down on the right complement those given by the spectator on the left. The principle of 9 is used, and although the numbers are in twos you only consider them as individual digits. Thus the complememt to 47 would be 52, or whatever figure it takes under each total 9. To 61 it would be 38, or to 50 it would be 49. Vftien you write your right hand column however from the top down you really complement their column on the left from the bottom up which doesn1t affect the working but which maneuvre will throw off still more anyone watching for something like this.

Now take the top number on each side, crossing then through with pencil or chalk, and enter them apparently at random on squares, a figure to each. Flease follow this with paper and pencil in hand. The upper left number, in the example 63, is entered in the first two columns, one in each at any snot in each column except the dotted squares which must be left until the last. In this instance I have put the 6 at the bottom of the first and the 3 at the top of the second. It wouldn't matter which of the four vacant square in the first column contained the 6 nor matter into which went the 3 In the second column. The 72 (top number of right row) is handled in the sane manner in the two right columns of diagram. How cross out the next figures on both outside rows and repeat the action. When you reach the third figures, cross thert out and as in the example write them straight down the center vertical row, skipping, of course, the center or dotted square. Cross out the next two numbers, but now you write the left outside figures In the two right columns and the right outside figures In the two left columns, or exactly the opposite as to aides from the start. Repeat this with the last figures of each outside column and all spaces of the diagram are filled with the exception of the dotted vertical row. And, each vertical row when added, will total 9 or 18!

On paper this Isn't any too easy to explain. If you have paper and pencil, follow the directions and check with the example, it Is simple because It is automatic and can't miss. Now ask the spectator himself to fill in the empty or dotted spaces with figures. Take the pencil or chalk and immediately write the answer to the problem underneath and have it proven correct. Your only bit of calculation Is to-pay attention only to his written in diagonal row from the top down. Subtract 2 from the last figure and put it in front of the first. Thus the line of 64387 becomes (Continued on page 107)

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