Question

In a poultry farm having hens and pigs rohan can see 84 Heads and 282: legs How many hens are there ?

Answer 1

Answer:

Step-by-step explanation:

Let no of hens be h and no of pigs be p

Since no of heads for both hens n pigs is 84 Hence

h + p = 84 (1)

Also, since the total legs is 282 and a hen has 2 legs whereas a pig has 4 legs

=> 2h + 4p = 282 (2)

We need to solve eq 1 and eq 2

.multiply eq 1 by 2, we get

2h + 2p = 168 (3)

Subtract eq 3 from eq 2

=> 4p - 2p = 282 - 168

2p = 114

p = 114/2

p = 57

Substitute value of p in eq 1

h + 57 = 84

h = 84-57

h = 17

No of hens is 27

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Answer 2

There are 65 hens.

Step-by-step explanation:

Since we have given that

Number of heads = 84

Number of legs = 282

Since each hen and pig has only one head.

Each hen has 2 legs and pig has 4 Legs.

According to question, we get that

$H+P=84------------(1)\\\\2H+4P=282\\\\\implies H+2P=141------------------(2)$

So, from eq(1) and (2), we get that

$H=84-P\\\\H=141-4P\\\\So,\\\\84-P=141-4P\\\\84-141=-4P+P\\\\57=3P\\\\P=\dfrac{57}{3}=19$

So, H = 84-19 = 65

Hence, there are 65 hens.

# learn more:

In a farm, the farmer counted 78 legs and 35 heads consisting of cows and hens. How many hens does the have?

https://brainly.in/question/4988779