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Marbles puzzle and solution

For our listeners to the radio program about Games and Development, enclosed it the puzzle and its solution.

The Puzzle:

You  are given 12 marbles and 3 identical bags. 
Your objective: Find 3 ways to place the 12 marbles in all 3 the bags in such a way that each bag contains the same number of marbles. 
One way is rather obvious - place 4 marbles in each bag.
Can you find the other 2 ways to place all the marbles in the 3 bags so that each bag contains the same number of marbles? 


The Solution

The second way is to place 12 marbles in one bag, place this bag in a second bag and place the second bag in the third bag.

The Third way is - place 6 marbles in one bag. Place this bag in the second bag, and place the 6 remaining marbles in the third bag.

In all cases you have the same number of marbles in all bags.


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