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

Modern Puzzles by Henry Ernest Dudeney: $80$

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?

1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Various Arithmetical and Algebraical Problems: $80$. -- The Flocks of Sheep
1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $162$. The Flocks of Sheep