A school wants to allocate students into three clubs: Sports, Music and Drama, under following conditions:
- The number of students in Sports club should be equal to the sum of the number of students in Music and Drama club.
- The number of students in Music club should be 20 more than half the number of students in Sports club.
- The total number of students to be allocated in all three clubs are 180.
Find the number of students allocated to different clubs, using matrix method.