A college has 9 more english instructors than math instructors. if the total number of English and math instructors is 57, find the number of english instructors and the number of math instructors.

There are 24 math instructors and 33 english instructors.

Step-by-step explanation:

Let x be the number of math instructors and y be the english instructors. Since the college has 9 more English instructors than math instructors, set up the equation like this: x + (x+9) = 57 where x+y=57, you can see that y=x+9.

Now, it's time to solve for x and y.

x + (x+9) = 57

2x+9=57

2x=57-9

2x=48

x=48/2=24

y=24+9=33

x=24, y=33