In one house some cows and chicken here.if then heads are 80 and legs are 200 .then how many chicken

Solution (By Examveda Team)

The correct answer is: Option D: 6.

Explanation:
Let the number of cows be C and the number of chickens be H.

We know that:
Each animal has one head, so the total number of heads is the sum of cows and chickens: C + H = 80

Cows have 4 legs and chickens have 2 legs. So, the total number of legs can be expressed as: 4C + 2H = 200

Now, we solve these two equations:
From the first equation, we have: C = 80 - H

Substitute this into the second equation: 4(80 - H) + 2H = 200

Simplifying the equation: 320 - 4H + 2H = 200

320 - 2H = 200

Now, subtract 320 from both sides: -2H = -120

Solve for H: H = 60

Therefore, the number of chickens is 60.

Since there is a total of 80 heads, the remaining animals are cows, so the number of cows is: 80 - 60 = 20

Hence, the total number of chickens is 60, and the total number of cows is 20.