Ek room me pigeons nd rabbitsTotal 20 head aur 48 legs hain to kitne pigeons or rabbit hue
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let number of pigeons be x and rabbits be y
therefore x+y=20. (1)
(pigeons and rabbits have only 1 head)
2x+4y=48
(pigeons have 2 legs and rabbits have 4 legs)
or x+2y=24 (2) (dividing by 2)
subtracting eqn (1) from (2)
x+2y=24
x+ y =20
(-) (-) (-)
_______
y=4
Substitute y=4 in 1
x+y=20
therefore x+4=20
or. x=20-4 =16
ANS. There are 16 pigeons and 4 rabbits
therefore x+y=20. (1)
(pigeons and rabbits have only 1 head)
2x+4y=48
(pigeons have 2 legs and rabbits have 4 legs)
or x+2y=24 (2) (dividing by 2)
subtracting eqn (1) from (2)
x+2y=24
x+ y =20
(-) (-) (-)
_______
y=4
Substitute y=4 in 1
x+y=20
therefore x+4=20
or. x=20-4 =16
ANS. There are 16 pigeons and 4 rabbits
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