Question

in a heard of animals there are hens and buffaloes if there are 120 eyes and 180legs in all how many hens and buffaloes are there

Answer 1

let the number of buffaloes and hens be X and Y respectively
Therefore
buffalo have two eyes and hens also have two eyes
So
2x+2y=120
x+y=60
and buffalo have four legs and hens have two legs
4x+2y=180
2x+y =90
from equation 1 Y is equal to 60 - x
2x+60-x=90
x=30
Therefore Y equal to 30

Answer 2

let the number of buffaloes and hens be X and Y respectively Therefore buffalo have two eyes and hens also have two eyes So2x+2y=120x+y=60and buffalo have four legs and hens have two legs 4x+2y=1802x+y =90from equation 1 Y is equal to 60 - x 2x+60-x=90x=30Therefore Y equal to 30