Question: Professor Rackbrane told his family at the breakfast table that he had heard the following conversation in a railway carriage the night before.
One passenger said to another, "Here is my purse: give me just as much money, Richard, as you find in it."
Richard counted the money, added an equal value from his own pocket, and replied, "Now, John, if you give me as much as I have left of my own we shall be square."
John did so, and then stated that his own purse contained $3.50, while Richard said that he now had $3.00. How much did each man possess at first?
Answer: Richard had $4.00, and John had $2.50.
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