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From The Book of Squares (Posted on 2017-07-26) Difficulty: 3 of 5
Leonardo of Pisa, also known as Fibonacci, recounts that he was given this problem by John of Palermo as part of a mathematical tournament.

Three men possess a pile of money, their shares being 1/2, 1/3, 1/6. Each man takes some money from the pile until nothing is left. The first man returns 1/2 of what he took, the second 1/3 and third 1/6. When the total so returned is divided equally among the men it is found that each then possesses what he is entitled to. How much money was in the original pile, and how much did each man take from the pile?

Note: This is a Diophantine problem so you may just give the smallest whole number solution.

No Solution Yet Submitted by Jer    
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No Subject | Comment 1 of 5
Total is 282.

First man took 198, second man 78, third man 6.

The three returned 99, 26, and 1 respectively for a total of 126, and received 42 each.

Then the first man had 99+42=141=282/2, 
the second had 52+42=94=282/3, 
and the third had 5+42=47=282/6.



  Posted by xdog on 2017-07-26 10:04:32
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