Question

A school has 8 teachers and 4 administrators. The average age of the teachers is 40 years, and the average age of the administrators is 55 years. After hiring 3 new teachers and 2 new administrators, the average age of the entire staff increases by 1 year. If the average age of the new teachers is 42 years, what is the combined age of the 2 new administrators?

A 102 years
B 108 years
C 112 years
D 116 years
E none
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