The management committee of a residential colony decided to award some of its members (say x) for honesty, (say y) for helping others and some others (say z) for supervising the workers to keep the colony neat and clean. The sum of all the awardees is `12`. Three times the sum of the awardees for cooperation and supervision added to two times the number of awardees for honesty is `33`. If the sum of the number of awardees for honesty and supervision is twice the number of awardees for helping others. Using matrix method, find the number of awardees of each category.

Options

A. 3
B. 5
C. 7
D. 12

Answer

D