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Solution to:
Marbles Misweight
Number the ten bags from 1 up to and including 10. Then take one marble from bag 1,
two marbles from bag 2, three marbles from bag 3, etc. Place all
55 marbles that you selected from the bags together on the balance.
The number of grams that the total weight of these 55 marbles differs
from 550 grams, is equal to the number of marbles of 9 grams that are
among those 55 marbles, and that is equal to the number of the bag
which contains the marbles of 9 grams!
 back to the puzzle
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