MHB Riddle of 3 Travelers & Coins: Origin & Solution

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The riddle involves three travelers and a bag of coins, where each traveler has a different relationship to the total amount of money if they take the coins. The first traveler would have twice as much as the other two, the second would have three times as much, and the third five times as much. Participants are seeking both a solution to the riddle and information about its origin or common name. The discussion hints at a number-theoretic background that may help in solving it. Understanding the amounts each traveler has and the total in the bag is essential for finding the solution.
The Chaz
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I came across a riddle (surely with some number-theoretic background). Paraphrased:

Three travelers come across a bag of coins. If the first traveler takes the coins, he will have twice as much money as the other two.
If the second traveler takes the coins, he will have three times as much money as the other two.
If the third traveler takes the coins, he will have five times as much money as the other two.

A solution would be nice, but I'd also be interested in knowing the origin and/or common name (phrasing) of this puzzle.

Thanks.
 
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The Chaz said:
I came across a riddle (surely with some number-theoretic background). Paraphrased:

Three travelers come across a bag of coins. If the first traveler takes the coins, he will have twice as much money as the other two. If the second traveler takes the coins, he will have three times as much money as the other two. If the third traveler takes the coins, he will have five times as much money as the other two.

A solution would be nice, but I'd also be interested in knowing the origin and/or common name (phrasing) of this puzzle.

Thanks.

Hi The Chaz, :)

So what is the thing that we should find out. Is it the amounts of money that each traveler has and the amount in the bag?

Kind Regards,
Sudharaka.
 

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