Mukesh has some goats and hens in his shed. Upon counting, Mukesh found that the total number of legs is 112 and the total number of heads is 40 . Find the number of hens in his shed.

Question

Mukesh has some goats and hens in his shed. Upon counting, Mukesh found that the total number of legs is 112 and the total number of heads is 40 . Find the number of hens in his shed. (A) 18 (B) 20 (C) 22 (D) 24

Tardigrade Admin · Accepted Answer

Let the number of goats and hens, be x and y, respectively. Given, 4 x+2 y=112 x+y=40 Solving Eqs. (1) and (2), we get, x=16 and y=24 ∴ Number of hens =24

Q. Mukesh has some goats and hens in his shed. Upon counting, Mukesh found that the total number of legs is 112 and the total number of heads is 40 . Find the number of hens in his shed.

18

20

22

24

Let the number of goats and hens, be $x$ and $y$ , respectively.
Given, $4 x + 2 y = 112$
$x + y = 40$
Solving Eqs. (1) and (2), we get, $x = 16$ and $y = 24$
$∴$ Number of hens $= 24$

Q. Mukesh has some goats and hens in his shed. Upon counting, Mukesh found that the total number of legs is 112 and the total number of heads is 40 . Find the number of hens in his shed.

18

20

22

24

Let the number of goats and hens, be x and y, respectively. Given, 4x+2y=112 x+y=40 Solving Eqs. (1) and (2), we get, x=16 and y=24 ∴ Number of hens =24

Let the number of goats and hens, be $x$ and $y$ , respectively.
Given, $4 x + 2 y = 112$
$x + y = 40$
Solving Eqs. (1) and (2), we get, $x = 16$ and $y = 24$
$∴$ Number of hens $= 24$