Friday 16 March 2012

Envelope trick

I wish to present a trick which you can play with your friends/relatives.
It is better to have at least 4 persons before you for this as otherwise the trick is likely to be discovered,though not always.You will write a number say 43 on a piece of paper without showing it to anybody,place it in an envelope and close it shut.
You will then present a sheet of paper containing 16 numbers in 4 rows/4 columns.You will give one person a coloured pencil say green asking him to score out one row and one column..Another person with a red pencil to score out another row/column.A third person with blue pencil to score out another row/column.The last 4th person to score out the last row/column with say an yellow pencil..
The green colours meet at a particular number in the grid.Similarly the other colours will meet each at a different number in the grid.You will then ask the persons to add up all the 4 numbers where each set of coloured pencils meet .They will be surprised to find that the total is 43,which you have written and placed in the closed envelope.
The 16 numbers which you have written in the sheet of paper presented for scoring out will be as follows-
14,16,11,10
 9, 11, 6,  5
 8, 10, 5,  4
17,19,14,13.
How do you find the trick?
I have given below two more grids below for numbers 51 and  103-
Number 51-Numbers given row-wise--(8,11,17,13)..(12,15,11,17)...(14,17,13,19)..(10,13,9,15)
Number 103--(26,24,35,32)....(24,22,33,30)...(19,17,28,25)...(21,19,30,27)   

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