Question

there are some hens and cows in a form if the number of heads is 50 and the number of legs is 144 then find the number of hens in the farm ​

Answer 1

let the no. of hens be x and no. of cows be y. For heads the equation is

x + y = 50 (head count is 50)

For legs the equation is

2x + 4y =144 (2 legs of hen and 4 legs of cow assuming that none are missing any limbs)

From head count equation

y = 50 - x

substituting this in leg count equation we get

2x + 4(50 - x) = 144

2x + 200 - 4x = 144

-2x = 144 - 200

-2x = - 56

x = 28

Substituting in headcount equation we get

y = 50 - 28

So y = 22