There are some shepherds and their sheep in a grazing field. The no. of total heads   are 60 and total legs are 168 including both men and sheep. The no. of sheep isOptions :18262436

Let's solve this problem step by step.

1. Let's denote the number of shepherds as 'x' and the number of sheep as 'y'.

2. According to the problem, the total number of heads is 60. This means that the sum of shepherds and sheep is 60. We can write this as an equation: x + y = 60.

3. The problem also states that the total number of legs is 168. Each shepherd has 2 legs and each sheep has 4 legs. We can write this as another equation: 2x + 4y = 168.

4. To simplify the equations, we can divide the second equation by 2, which gives us: x + 2y = 84.

5. Now we have two equations with the same 'x' term: x + y = 60 and x + 2y = 84.

6. If we subtract the first equation from the second, we get: y = 24.

7. Substituting y = 24 into the first equation gives us: x + 24 = 60, which simplifies to x = 36.

So, there are 36 shepherds and 24 sheep. The number of sheep is 24.