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3.the average age of twenty students is 12 years. if the teachers age i…

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?

Explanation:

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: \(273 - 240 = 33\).

Answer:

The age of the teacher is 33 years.