Final answer:
The problem can be solved using a system of linear equations.
Step-by-step explanation:
The problem can be solved using a system of linear equations. We can set up two equations based on the given information:
x + y = 25
4x + 2y = 64
The first equation represents the total number of animals on the farm, while the second equation represents the total number of legs. Solving this system of equations will give us the values of x and y, which represent the number of cows and chickens respectively.
We can solve this system of equations using various methods like substitution or elimination.