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Question
3.the average age of twenty students is 12 years. if the teachers age is included, the average increases by one. what is the age of the teacher?
Step1: Find total age of students
The average age of 20 students is 12, so total age is \(20\times12 = 240\).
Step2: Find new average and total
After including teacher, number of people is 21, new average is \(12 + 1=13\). Total age now is \(21\times13 = 273\).
Step3: Calculate teacher's age
Subtract students' total from new total: \(273 - 240 = 33\).
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The age of the teacher is 33 years.