Question

8. A man when asked how many hens and buffaloes he has told that his animals have 120 eyes and 180 legs. How many hens and buffaloes has he?​

Answer 1

Answer:

30 HENS AND 30 BUFFALOES

Step-by-step explanation:

LET NUMBER OF HENS = X  (HAS 2 EYES AND 2 LEGS)

AND NUMBER OF BUFFALOES = Y (HAS 2 EYES AND 4 LEGS)

SO BY DEFINITION WE HAVE

2X + 2Y = 120 THEN

2X + 4Y = 180 ( - ) MINUS

----------------------

0   -2Y  =  -60

THEN Y = -60/-2 = 30

THEN SUBSTITUTING THE ABOVE IN FIRST EQUATION

2X + 2Y = 120

2(30) +2Y = 120

60 + 2Y = 120

2Y = 120 - 60 = 60

Y = 60/2 = 30