Respuesta :

apocritia

Solution:

we are given that

Each cow has 4 legs and each chicken has 2 legs.

A boy counts 42 heads and 144 feet.

we have been asked to find how many cows are there?

Let there are x cows and y chicken.

Then we can write

[tex] x+y=42....(i)\\
\\
\text{Sum of Heads}\\
\\
4x+2y=144\\
\\

\text{Sum of feet }\\
\\
\Rightarrow 2x+y=72....(ii)\\
\\
\text{Now solve these two equation together we get}\\
\\

2x+(42-x)=72\\
\\
2x+42-x=72\\
\\
x=72-42=30\\ [/tex]

Hence Number of cows=30


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