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120 students of a class participated in 3 events A, B, and C as follows: $$9x$$ students participated in event 'A'. $$11x$$ students in 'B'. $$12x$$ students in 'C'. $$2x$$ students in both 'A' and 'B'. $$3x$$ students in both 'B' and 'C', $$4x$$ students in both 'C' and 'A' and '$$x$$' students in all the 3 events. The number of students who participated in the event 'C' alone is 24. Based on this information answer questions.