Henry Ernest Dudeney/Puzzles and Curious Problems/119 - The Three Drovers

Puzzles and Curious Problems by Henry Ernest Dudeney: $119$

The Three Drovers

Three drovers with varied flocks met on the highway.

Said Jack to Jim: "If I give you six pigs for a horse then you will have twice as many animals in your drove as I will have in mine."

Said Dan to Jack: "If I give you fourteen sheep for a horse, then you'll have three times as many animals as I have got."

Said Jim to Dan: "But if I give you four cows for a horse, then you'll have six times as many animals as I."

There were no deals; but can you tell me how many animals there were in the three droves?

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Various Arithmetical and Algebraical Problems: $119$. -- The Three Drovers
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $193$. The Three Drovers