Today, I want to share with you and ask to solve an old, interesting problem about how an employee cunningly deceived the store owner. Here is the problem:
The owner of the store arranged in his cellar a cabinet in the form of a square with nine compartments. The middle one he left free for empty bottles, and in the rest he arranged 60 bottles of wine so that in each corner compartment there were 6 bottles, and in each of the rest by 9 bottles.
Thus, on each side of the square there were 21 bottles. The employee noticed that when the owner was checking the number of bottles, he only counted the bottles on the sides of the square and made sure that on each side of the square there were 21 bottles. Then the cunning employee first time took away 4 bottles, and the rest arranged so that again the sum of the bottles turned 21 on each side. The owner counted the bottles in his usual way and thought that the bottles remained the same number and that the employee only moved them. The employee took advantage of the owner's mistake and again took away 4 bottles, placing the rest so that on each side of the square there were again 21 bottles. The same he kept repeating until it was possible.
The question is, how many times did he take bottles and how many bottles did he take away?
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