A farmer has 49 cows which are numbered from 1 to 49. Cow # 1 gives 1 litre of milk per day, cow # 2 gives 2 litres of milk per day, and like this cow # 49 gives 49 litres of milk per day. The farmer has 7 sons. He wants to give each son 7 cows but the total number of litres of milk given by each set of seven cows must be equal. How would the farmer divide the 49 cows?
Answers
Given
No. of cows that the farmer have=49
Also given
cow no.(1) gives 1litre of milk and cow no.( 2 )give 2 litre of milk and cow no. (49) gives 49 litre of milk in this way simultaneously for each cow amount of milk given by them is increasing
Then:
total no. of sons that the farmer have=7
Given
no. of cows that the sons will get=7
Also given
The total litres of milk given by the each set of seven cows of the sons should be equal
Consider
Total litre of milk given by that (49)cows =?
Take
by using formula=n(n+1) divided by 2
here
(n) refers to the number where the addition ends
Then
total litre of milk given by that (49)cows =1225
Then
total litre of milk that set of seven cows of each son gives 775 litre of milk per day