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Travelers and coins

The Chaz

Member
Jan 26, 2012
24
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.
 

Sudharaka

Well-known member
MHB Math Helper
Feb 5, 2012
1,621
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.