Let's use the letter A to represent the number of adult tickets, and S to represent the number of student tickets.
We know that the total number of sold tickets was 175 (assuming everyone who bought a ticket went to the concert).
Thus, we can write:

We also know that the number of sold adult tickets was 10 more than twice the number of student tickets. Thus, we have:

Now, notice that the first equation can be written as:

Then, using the above result into the second equation, we obtain:

Now, we can use the previous result to find S:

Since we need to find how many more adults than students bought tickets, we need to subtract 55 from 120:

Therefore, the answer is 65.