Problem #41: A Bag Of Marbles
A group of children share marbles from a bag. The first child takes one marble
and a tenth of the remainder. The second child takes two marbles and a tenth
of the remainder. The third child takes three marbles and a tenth of the
remainder. And so on until the last child takes whatever is left. Knowing
that all the children end up with the same number of marble, how many children
were there and how many marbles did each one get?
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