Here is another problem from Mahavira: Two travelers found a purse containing money. The first said to the second, "By securing half of the money in this purse. I shall become twice as rich as you." The second said to the first. "By securing two-thirds of the money in the purse. I shall, with the money 1 have on band, have three times as much money as what you have on hand." How much did each have and how much was in the purse?