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  • A farmer has 25 cows numbered 1 to 25 no 1 cow gives 1 kg milk , no 2 gives 2 kg, no 3 give 3kg and so on . Farmer has 5 sons and he wants to distribute his cows among his sons such a way that every son take 5 cows & total quantity of milk will be same. h

A farmer has 25 cows numbered 1 to 25 no 1 cow gives 1 kg milk , no 2 gives 2 kg, no 3 give 3kg and so on . Farmer has 5 sons and he wants to distribute his cows among his sons such a way that every son take 5 cows & total quantity of milk will be same. how can he distribute

Answers (1)

Total cows = 25

Total Milk = 1 + 2 + 3 + .......................................+ 25

               = 25(25 + 1)/2

               = 325 kg

Son = 5

Each Son should get  = 325/5 = 65  kg milk 

So we can number of such distribution where every son get 5 cows and 65 kg milk.

Son 1  - cow  1, cow 25, cow 2, cow 24, cow 13    

Son 2 -  cow 3, cow 23, cow 4, cow  21, cow 14

Son3 -   cow 5, cow 22, cow 6, cow 20, cow 12

Son4  -  cow7, cow 19, cow 8, cow 16, cow 15

Son5  -  cow9, cow 18, cow 10, cow 17, cow 11

Posted by

Ravindra Pindel

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