Answer:
Adam scored 25 points.
Bethany scored 30 points.
Charles scored 17 points.
Explanation:
A = Adam, B = Bethany, C = Charles
What we know:
C + 8 = A
A + 5 = B
A + B + C = 72
Charles:
C + 8 + 5 = B
C + (C + 8) + (C + 13) = 72
72 - 8 - 13 = 51
51/3 = 17
Charles scored 17 points.
Bethany:
17 + 13 = 30
Bethany scored 30 points.
Adam:
17 + 8 = 25
Adam scored 25 points.