MHB Riddle of 3 Travelers & Coins: Origin & Solution

  • Thread starter Thread starter The Chaz
  • Start date Start date
AI Thread Summary
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
Messages
206
Reaction score
0
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.
 
Mathematics news on Phys.org
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.
 

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Similar threads

MHB Calculating overall percentage/probability from multiple categories?
Replies
3
Views
4K
Rare gold coin from 1420s discovered in Newfoundland, Canada
Replies
2
Views
2K
B Dividing the jewel maker's diamonds -Riddle (Easy)
Replies
2
Views
2K
B New solutions to old, historic problems
Replies
2
Views
2K
B A whole bunch of dice -- Statistics riddle
Replies
2
Views
2K
MHB How long will it take for the jets to be 9128 miles apart?
Replies
2
Views
2K
I The Actual Sleeping beauty Problem
Replies
45
Views
5K
I Is the fork in the Einstein Podolsky Rosen argument correct?
Replies
45
Views
2K
Challenge Can You Solve These Challenging Riddles and Win a Prize?
2
Replies
73
Views
10K
How Do You Calculate the Probability of Coin Toss Outcomes with Biased Coins?
Replies
7
Views
4K

Hot Threads

Recent Insights

Back
Top