The average age of a class of 30 students and a teacher reduces by 0.5 years if we exclude the teacher. Find the age of the class teacher if the initial average was 14 years.

The initial total age for the 31 people (30 students and one teacher) with an average of 14 years is 31 multiplied by 14, giving 434. When the teacher is excluded, the new average of 14 minus 0.5 years equals 13.5 years for the 30 students, making their total age 30 multiplied by 13.5, which is 405. The teacher's age is the difference between the two totals: 434 minus 405 equals 29 years.

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