Farmer hoggett has only ducks and pigs on his farm He cant remember how many of each he but really need to does know that was 22 animals A total 56 legs..?

Let x be the number of ducks and y be the number of pigs. We know that:

$$x + y = 22$$

$$2x + 4y = 56$$

Solving the first equation for x:

$$x = 22-y$$

Substituting into the second equation:

$$2(22-y) + 4y = 56$$

$$44 - 2y + 4y = 56$$

$$2y = 12$$

$$y = 6$$

Therefore, there are 12 ducks and 10 pigs on the farm.