One farmer have 25 cows.1st cow gives 1 liter milk, 2nd cow gives 2 liter milk,3rd cow gives 3 liter milk. so on ...... 25th cow gives 25 milk . ......... now, farmer has 5 sons and he wants to distribute these 25 cows as each son having same no of cow and same quantity of milk.
Answers
Sn/5 = {n/2(a+an)}/5
S25/5 = {25/2(1+25)}/5
S25/5 = {25/2*26}/5
S25/5 = {25*13}/5
S25/5 = 5*13
S25/5 = 65.
Therefore each soon will get 5 cows and get 65 litres each.
Each son will get 65 liters of milk.
Son1 - 1st cow,25th cow,2nd cow,24th cow, and 13th cow.
Son2 - 3rd cow,23rd cow,4th cow,21st cow, and 14th cow.
Son3 - 5th cow,22nd cow,6th cow,20th cow, and 12th cow.
Son4 - 7th cow, 19th cow,8th cow,16th cow, and 15th cow.
Son5 - 9th cow, 18th cow,10th cow,17th cow, and 11th cow.
Given,
One farmer has 25 cows.1st cow gives 1-liter milk, 2nd cow gives 2-liter milk,3rd cow gives 3-liter milk. So on ...... 25th cow gives 25-liter milk.
The farmer has five sons and wants to distribute these 25 cows among his children.
To Find,
The number of cows each son will have.
Solution,
Let's form the A.P using the given details.
The sequence of A.P = 1+2+3+4+5........................23+24+25.
Total number of cows = 25
The total amount of milk =?
We will find the total milk using the sum formula of A.P.
= n×(n+1)/2.
Now, let's put the value from the formed A.P
= 25(25 + 1)/2
= 25 × 26/2
= 25 × 13
= 325 liters.
Then,
Total sons = 5.
Let's find the amount of milk each son will get.
The amount of milk each son will get = total milk/number of sons
= 325/5
= 65 liters.
Each son will receive 65 liters of milk.
Each son will receive the number of cows will be:
Therefore, number of cows=amount of milk
Son1 - 1st cow,25th cow,2nd cow,24th cow, and 13th cow. (1+25+2+24+13=65)
Son2 - 3rd cow,23rd cow,4th cow,21st cow, and 14th cow. (3+23+4+21+14=65)
Son3 - 5th cow,22nd cow,6th cow,20th cow, and 12th cow. (5+22+6+20+12=65)
Son4 - 7th cow, 19th cow,8th cow,16th cow, and 15th cow. (7+19+8+16+15=65)
Son5 - 9th cow, 18th cow,10th cow,17th cow, and 11th cow. (9+18+10+17+11=65)
Each son will get 65 liters of milk.
Son1 - 1st cow,25th cow,2nd cow,24th cow, and 13th cow.
Son2 - 3rd cow,23rd cow,4th cow,21st cow, and 14th cow.
Son3 - 5th cow,22nd cow,6th cow,20th cow, and 12th cow.
Son4 - 7th cow, 19th cow,8th cow,16th cow, and 15th cow.
Son5 - 9th cow, 18th cow,10th cow,17th cow, and 11th cow.
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