MathDB
marbles

Source: Netherlands 1995

June 28, 2009

Problem Statement

Let 101 101 marbles be numbered from 1 1 to 101 101. The marbles are divided over two baskets A A and B B. The marble numbered 40 40 is in basket A A. When this marble is removed from basket A A and put in B B, the averages of the numbers A A and B B both increase by 14 \frac{1}{4}. How many marbles were there originally in basket A? A?