Question

*Mr One has 25 no. Of cows in his Cow yard. Each has been serially numbered from 1 to 25*
*Each cow gives milk equal to its serial number .* *For example:*
*Cow at sr. No. 1 gives 1 lt of milk . Cow 2 gives 2 lts of milk .. .. and Cow 25 gives 25 liters of milk .*
*Considering Mr One has 5 sons. divide these cows among 5 sons in such a way that each of his son gets Equal No. Of Cows* *And the milk given by each lot of 5 cows in the custody of each son is also equal in quantity.*

Answer 1

Topic - Arranging Numbers

• To find: The problem asks to divide 25 cows among 5 sons in such a way that each of the sons gets equal number of cows and equal quantity of milk.

• Solution: This is a very simple problem where we just need to arrange the numbers to get the solution.

Just follow the following steps:

• Write down the numbers from 1 to 5.

• Then under it, write down the numbers from 6 to 10.

• In similar way take the next 5 numbers consecutively and write upto 25.

• We will get 9 rows with different number of elements. We will match them to get 5 elements giving equal sum.

You can see the grid in the given attachment.

• We simply colour the 9 rows, and try to find a pattern to gain equal sum.

• Red --- (Row1) has one element 5 and (Row6) has elements 6, 12, 18, 24.
• Sum = 5 + 6 + 12 + 18 + 24 = 65.

• Blue --- (Row2) has elements 4, 10 and (Row7) has elements 11, 17, 23.
• Sum = 4 + 10 + 11 + 17 + 23 = 65.

• Green --- (Row3) has elements 3, 9, 15 and (Row8) has elements 16, 22.
• Sum = 3 + 9 + 15 + 16 + 22 = 65.

• Violet --- (Row4) has elements 2, 8, 14, 20 and (Row9) has element 21.
• Sum = 2 + 8 + 14 + 20 + 21 = 65.

• Yellow --- (Row5) has five elements 1, 7, 13, 19, 25.
• Sum = 1 + 7 + 13 + 19 + 25 = 65.

Answer:

• Son (1) = 5, 6, 12, 18, 24

• Son (2) = 4, 10, 11, 17, 23

• Son (3) = 3, 9, 15, 16, 22

• Son (4) = 2, 8, 14, 20, 21

• Son (5) = 1, 7, 13, 19, 25