Question

in a zoo there are rabbits and pigeons. If their heads are counted these are 95 while their legs are 224 .Find the number of pigeons in the zoo.

Answer 1

the first equation will be x+y=95
second equation will be 4x+2y=224
as no of heads of rabbit is 1 and no of heads of pigeon is also one and no of leg dog rabbit is 4 and no of legs of pigeon is 2 so solving the equations simultaneously...
2x+2y=190
4x+2y=224
===-2x=-34
x=17 and filling value of X... 95-17=78

Answer 2

Let no. of rabbits be x and no. of pigeons be y.
A/Q,
x + y = 95 ... 1
4x + 2y = 224
= 2x + y = 112 ... 2
By solving the two equations, we get
x = 17
Therefore, y = 78