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A farmer had 3 sons and 17 horses suddenly dies.

The farmer's will states:

  • The first son gets 1/2 of the horses
  • The second son gets 1/3 of the horses
  • The third son gets 1/9 of the horses

A lawyer rides to the farm to help the sons.

How many horses does each son get and why?

No fractions, all horses must live.

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The Lawyer will add 1 horse to the total horses of farmer to make them 18.

Now, the division amongs the members will be like

  • First Son (1/2 Share) : 18/2 = 9
  • Second Son (1/3 Share) : 18/3 = 6
  • Second Son (1/9 Share) :18/9 = 2

Now, the total horse given to the farmers children will be 9+6+2=17. So, the lawyer will take back his horse which was added by him initially

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quote name='ubuntucuber' date='20 April 2010 - 04:46 AM' timestamp='1271735174' post='224468']

A farmer had 3 sons and 17 horses suddenly dies.

The farmer's will states:

  • The first son gets 1/2 of the horses
9
[The second son gets 1/3 of the horses
6
[The third son gets 1/9 of the horses
2
[

A lawyer rides to the farm to help the sons.

How many horses does each son get and why?

No fractions, all horses must live.

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This is another 'old chestnut' I've known this problem for many years.

The answer isn't actually a true solution of the original problem. One gets more than his share and the other two get less. He should compensate the others!

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Sumit Modi got it exactly right

I have always hated this solution because It does not fulfill the dads will. the fist son does not get half of the horses, he gets 9/17ths.

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This is another 'old chestnut' I've known this problem for many years.

The answer isn't actually a true solution of the original problem. One gets more than his share and the other two get less. He should compensate the others!

The lawyer looses out on "part" of a horse. Since (1/2+1/3+1/9=17/18) < 1 whole, the father's Will didn't account for 1/18th of the total horses, which would technically go to the lawyer (ie. the state/government). To help with easing the situation of "partial horses", the lawyer uses a trick of logic to distribute that 1/18th back to the sons.

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