Henry Ernest Dudeney/Modern Puzzles/80 - The Flocks of Sheep

by : $80$

 * The Flocks of Sheep
 * Four brothers were comparing the number of sheep that they owned.
 * It was found that Claude had ten more sheep than Dan.
 * If Claude gave a quarter of his sheep to Ben,
 * then Claude and Adam would together have the same number as Ben and Dan together.
 * If, then, Adam gave one-third to Ben,
 * and Ben gave a quarter of what he then held to Claude,
 * who then passed on a fifth of his holding to Dan,
 * and then Ben divided one-quarter of the number he then possessed equally among Adam, Claude and Dan,
 * they would all have an equal number of sheep.


 * How many sheep did each possess?