A man has 25 cows. All cows are numbered 1 to 25. All cows provide as many liters of milk as their number. That is, cows of number 5 give 5 liters and cows of number 8 provide 8 liters of milk. The man has 5 sons. Each son has to give five cows. But also, each boy should get the same amount of milk. So, what number of five cows should be given to each son?
Answers
Answer:
as 25+23+22+21+20+19+18+17+16+.........+1=325 so each gets =65
Step-by-step explanation:
son1= 25+16+11+10+5
son2=24+17+12+9+4
son3=23+18+13+8+3
son4=22+19+14+7+2
son1=21+20+15+6+1
The proper numbers on the cows that are given to each son -
1st Son -cow numbers 1, 7, 13, 19, and 25.
2nd Son -cow numbers 2, 8, 14, 20, and 21.
3rd Son -cow numbers 3, 9, 15, 16, and 22.
4th Son -cow numbers 4, 10, 11, 17, and 23.
5th Son -cow numbers 5, 6, 12, 18, and 24.
Given,
The man has a total of 25 cows.
Cows are numbered 1 to 25.
Those cows provide as many liters of milk as their number, which means the cows of number 8 provide 8 liters of milk.
The number of sons he has = 5.
Each son has 5 cows.
To Find,
The number of five cows should be given to each son in such a manner that, each boy can have the same amount of milk.
Solution,
We can solve this mathematical problem using the following method.
As per given conditions Those cows provide as many liters of milk as their number.
There is a total of 25 cows so, total generated milk =25+23+22+21+20+19+18+17+16+.........+1=325 liters.
Also, each boy should get the same amount of milk .So each gets =325÷5 =65 Liters.
Now apply the aptitude trick.
Write the numbers from 1 to 25 in 5 rows as follows.
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
Then let's calculate the number of 5 cows that should be given to each son. Give the first son the cows in a diagonal starting from number 1. Then start with 2 and give 2nd son the cows on the diagonal right to it. It consists of four digits. Take the single number in the bottom left corner to make it up. Then give the cows to the 3rd son on the diagonal right to the one who started with 3. Since there are now three numbers, take two by following the diagonal on the left bottom, beginning with 16 and finishing with 22. Continue in the same manner with the fourth and fifth sons.
So, they will get as follows,
1st Son gets the cows of the numbers 1, 7, 13, 19, and 25.
2nd Son gets the cows of the numbers 2, 8, 14, 20, and 21.
3rd Son gets the cows of the numbers 3, 9, 15, 16, and 22.
4th Son gets the cows of the numbers 4, 10, 11, 17, and 23.
5th Son gets the cows of the numbers 5, 6, 12, 18, and 24.
Hence, the number of five cows that should be given to each son is as follows, 1st Son gets the cows of the numbers 1, 7, 13, 19, and 25.
2nd Son gets the cows of the numbers 2, 8, 14, 20, and 21.
3rd Son gets the cows of the numbers 3, 9, 15, 16, and 22.
4th Son gets the cows of the numbers 4, 10, 11, 17, and 23.
5th Son gets the cows of the numbers 5, 6, 12, 18, and 24.
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