A farmer has 5 cows numbered 1 to 5 no 1 cow gives 1kg milk ... no 2 gives 2 kg no 3 give 3kg no 4gives 4kg no 5kg gives 5 kg per day. farmer has 5 sons. now 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
Given : A farmer has 25 cows numbered 1 to 5 no 1 cow gives 1kg milk ... no 2 gives 2 kg no 3 give 3kg no 4gives 4kg no 5kg gives 5 kg per day and so on
To find : Distribution of cows such that every son take 5 cows & total quantity of milk will be same.
Solution:
correction in question : total 25 cows
then only 5 son will get 5 cows each
Total Milk
= 1 + 2 + 3 + .......................................+ 25
= 25(25 + 1)/2
= 325 kg
Total cows = 25
Total Milk = 325 kg
Son = 5
Each Son should get = 325/5 = 65 kg
there can be multiple solutions:
Here is one of them :
Son 1 get - cow 1 , cow 25 cow 2 , cow 24 , cow 13
Son 2 Get cow 3 cow 23 cow 4 Cow 21 Cow 14
Son3 get cow 5 cow 22 cow 6 cow 20 cow 12
Son4 get cow7 cow 19 cow 8 cow 16 cow 15
Son5 get cow9 cow 18 cow 10 cow 17 cow 11
sum in each case = 65 kg
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