Magic square. Effective trick and its solution

EFFECTIVE FOCUSES AND THEIR CLUES
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Magic square. Focus secret

Spectacular tricks and their clues

Directory / Spectacular tricks and their clues

Focus Description:

Ask someone from the audience to name any number from 50 to 100. Then draw a square on a piece of paper and divide it into 16 cells, filling them in with numbers.

After that, pass the square to the viewer, and he will be amazed to find that the sums of numbers written in all vertical, horizontal rows, on the two main diagonals, as well as the sums of numbers in the central square and in all four of the same corners, are equal. And they are equal to just the intended number.

Focus secret:

The secret of the trick lies in the special placement of numbers from 1 to 12 in the cells. After that, it remains only to practice actions with various randomly named numbers. When you are called any number from 50 to 100, enter the numbers from 1 to 9 in the cells:

If you wish, you can develop your own cell filling system. You only need to comply with a few conditions: the sum of the numbers in each vertical row must equal 9, and the nine itself must be located in the lower right corner - in addition to other numbers in the right row (7 and 2). In addition, the number 6 (inverted nine) should be placed in the box next to the number 9. Next, enter the numbers 10, 11, 12:

Now you have four empty cells left. Subtract the number 20 from what the viewer intended (for example, from 66) and enter the resulting number 46 in the first cell of the first row. Going to the next row, subtract 1 from it (46 - 1 \u45d 48) and enter the number in an empty cell. In the third row, in an empty cell, enter the number 46 (2 + 48 = 47). In the fourth - the number 46 (1 + 47 = XNUMX). That's it - your "magic square" is filled:

Show it to the viewer and ask them to check how magical it turned out. The sums of all numbers in all vertical, horizontal rows, on the two main diagonals, and in addition, in the central square (four central cells) and in all four corner (also four-cell) will be equal. Moreover, the viewers will be surprised to see that all the sums lead to the same number - which the viewer guessed (in our example - 66).

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