Question

A man has 16 cows.He gave numbers to his cows from 1 to 16.Each cow gives the number of litres milk which is her number.It means 8 number cow will give 8 litres of milk.He has 4 sons.He want to distribute his cows to them but all should get 4 cows and equal amount of milk.
Find the cows got by his sons.

Answer 1

Let the name for his sons be x y z a
X will get cow no. 8,1,9,16
Y will get cow no. 2,7,10,15
Z will get cow no. 6,3,11,14
A will get cow no. 4,5,12,,13
All will ge 34 litre of milk
Is it helpful

Answer 2

Answer:

There are two possibilities of answer:-

First possiblility :

7+12+1+14=34

2+13+8+11=34

16+3+10+5=34

9+6+15+4=34

Second possiblity :

7+2+16+9=34

12+13+3+6=34

1+8+10+15=34

14+11+5+4=34

Step-by-step explanation:

First we need to find the total amount of milk given by all cows so that it can be equally distributed into 4 sons.

For this we use general principle of mathematical induction-

i.e. , Sum of numbers from 1 to 16 :

1+2+3+...+n = n(n+1) / 2

1+2+3+...+16 = 16 (16+1) / 2 = 136

Now, we have to divide this 136 into 4 sons which is equal to 34.

Now, by making 'magic square' of 4 we can find the answer,

To make magic square of 4 follow the steps shown in picture.