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 Candies Problem...........
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Posted on 06-01-07 12:31 AM     Reply [Subscribe]
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There are three ladies who have some candies and decide to equally divide it when they get up.
One of them gets up early and thinks that one thirds of the total is mine. She eats one third and sleeps.
After that second Lady wakes up,she was not aware that first lady had eaten her part so she thinks that one third of the remaining is her she eats it and sleeps.
Third lady does the same.
After half an hour all three wakes up and dont tell each other that they have eaten their part,and devide the remaining candies equally.
In the whole process candies were taken without any break.
What is min quantity they had initially? What's the general formula to find out?
 
Posted on 06-01-07 8:53 AM     Reply [Subscribe]
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The minimum number of candies should be 81 if they want to distribute equal number of candies without making fractions.............

The general formula should be: n^(n+1) ..........{ n raised to the power n plus one}
where n is the number of people sharing.........

peace
 
Posted on 06-01-07 9:07 AM     Reply [Subscribe]
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Furthermore,
the number of candies they get after each of them steals will be:
(n-1)^(n-1)
n= number of ppl
 
Posted on 06-01-07 9:21 AM     Reply [Subscribe]
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jeeez i feel dumb
 
Posted on 06-01-07 9:22 AM     Reply [Subscribe]
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sorry
number of candies they get = (n-1)^n
 
Posted on 06-01-07 2:29 PM     Reply [Subscribe]
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==>> (2/3)*(2/3)*(2/3)*(1/3)*N = Integer Number
==>> 8*N/81= Integer

For this N should be the integer multiple of 81, so the min candies N=81
 


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