Three piles of matches. Effective trick and its solution

EFFECTIVE FOCUSES AND THEIR CLUES
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Three piles of matches. Focus Secret

Spectacular tricks and their clues

Directory / Spectacular tricks and their clues

Focus Description:

The magician turns his back to the audience, and one of those present puts three piles of matches on the table so that the number of matches in the piles is the same and greater than three in each. The spectator names any number from 1 to 12.

The artist asks the viewer to redistribute the matches in piles in some (special) way. In this case, although the demonstrator did not know the initial number of matches in the heaps, the given number of matches turns out to be in the middle heap.

Focus secret:

First, the viewer is asked to take three matches from the outer heaps and transfer them to the middle one. Then he must count the remaining matches in one of the outer piles, take this number of matches from the middle pile and transfer them to any outer pile. Since after that there are always 9 matches* in the middle pile, it is now quite easy to get the given number of matches in it (this will require only one shift).

Let's denote the initial number of matches as d. After the first operation, d-3 matches will remain in the outer piles, and d + 6 of them will become in the middle pile. After the second operation, which consists in transferring d-3 matches from the middle pile to the last one, there will be (d + 6) + (d-3) \u9d XNUMX matches in the middle pile.

Author: M.Gardner

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