The average age of a class of 22 students is 21 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?
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A faster method: The teacher's age must be the new average plus the total increase given to the rest of the group. \(\text{Teacher's age} = \text{New Average} + (\text{Number of students} \times \text{Increase}) = 22 + (22 \times 1) = 44\).