A certain number of books are in a library. The librarian decides to categorize them into two sections: science and mathematics. If twice the number of science books plus three times the number of mathematics books equals 100, and if the number of science books is 10 less than the number of mathematics books, how many mathematics books are there?

Let the number of science books be represented as $s$ and the number of mathematics books as $m$. The equations can be set up accordingly:

1) $$2s + 3m = 100$$

2) $$s = m - 10$$

Using these equations, determine the value of $m$.