Math Competition Enrollment

At a school, there are 120 students enrolled in a math competition. Each student can choose one of the three categories: Algebra, Geometry, or Statistics. The number of students in Algebra is twice the number of students in Geometry, and the number of students in Statistics is 15 less than the number of students in Algebra. How many students are enrolled in each category?

Let:

- The number of students in Algebra be $A$

- The number of students in Geometry be $G$

- The number of students in Statistics be $S$

From the problem statement, we can formulate the following equations:

1. $A + G + S = 120$

2. $A = 2G$

3. $S = A - 15$

Solve these equations to determine how many students are in Geometry ($G$).