Chapter 4.4, Problem 43ES

At a certain university $2/3$ of the mathematics students and $3/5$ of the computer science students have taken a discrete mathematics course. The number of mathematics student who have taken the course equals the number of computer science students who have taken the course. If there are at least 100 mathematics students at the university, what are the least possible number of mathematics students and the least passable number of computer science students at the university?
Definition: Given any nonnegative integer n, the decimal representation of n is an expression of the form $d_k{d}_{k-1}\cdots d_2{d}_1{d}_0$ , where k is a nonnegative integer, $d_0,d_1,d_2,\dots .d_k$ (called the decimal digits of n) are integers from 0 to 9 inclusive, $dk\ne 0$ unless $n-0\text{and}k-0,$ and $n-d_k\cdot {10}^k+d_{k-1}\cdot {10}^{k-1}+\cdots +d_2\cdot {10}^2+d_1\cdot 10+d_{0-}$ (For example, $2,503-2\cdot {10}^3+5\cdot {10}^2+0\cdot 10+3$ )