ramesh has same pigeons and goats. if the number of animals is 59. and the number of their legs is 190.then the number of goats are
Answers
Answer:
36
Step-by-step explanation:
we know that total no. of animals is 59
so, let no. of goats = x
let the no. of pigeons =y
so, x+y=59 -------------------------i
no. of legs for every goat =4
so, total no. of goat legs = 4x
no. of legs for every pigeon = 2
so, total no. of pigeon legs = 2y
now, total no. of legs = 4x +2y
= 190
4x+2y =190 --------------------------ii
from i,
y= 59-x
putting value in ii, we get
4x + 2(59-x) = 190
on solving we get
4x + 118 - 2x = 190
2x + 118 = 190
2x = 190 - 118
2x =72
x = 72/2
x(no. of goats) = 36
thank you......................
Let the number of goats be x
number of pigeons be y
Number of legs for 1 goat = 4
Number of legs for x goat = 4x
Number of legs for 1 pigeon = 2
Number of legs for x pigeon = 2y
Hence, by the given conditions
x + y = 59 ----------(1)
4x + 2y = 190 ---------(2)
(1)*2 => 2x + 2y = 118 -------(3)
(2)-(3) => 4x + 2y - 2x - 2y = 190-118
2x = 72
x = 36
y = 59 - 36 = 23
Therefore,
the total number of goats = 36 and
total number of pigeons = 23
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