There are some shepherds and their sheep are in a grasing field. The number of total heads are 60 and total legs are 168 including both men and sheep. The number of sheep is
(c) Let number of shepherds = x and number of sheep = y Given, number of heads = 60 According to the question, x + y = 60 .........(i) Number of legs= 168 ⇒ 2x + 4y = 168 ..........(ii) As we know that shepherd has 2 legs and sheep has4 legs. On multiplying Eq. (i) by 2, we get 2x + 2y = 120 ........(iii) On subtracting Eq. (i) from Eq. (ii), we get 2x + 4y = 168 2x + 2y = 120 - - -
2y = 48 ∴ y = 24 Therefore, number of sheep = 24.