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The average age of a class of 40 students is 15 years. When the age of the teacher is also included the average will be increased by 1 year. What is the age of the
teacher?
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The average age of a class of 40 students is 15 years. When the age of...
Given Data:
Average age of 40 students = 15 years
Increase in average when teacher's age is included = 1 year

Let's solve the problem step by step:

Step 1: Calculating total age of 40 students
Total age of 40 students = 40 * 15 = 600 years

Step 2: Calculating total age of students + teacher
Let the age of the teacher be T.
Total age of 40 students + teacher = 40 * 15 + T

Step 3: Calculating new average including teacher's age
New average = (Total age of students + teacher) / 41
Given that the new average is increased by 1 year:
New average = Old average + 1
(Total age of students + T) / 41 = 16

Step 4: Substituting the values and solving for teacher's age
(600 + T) / 41 = 16
600 + T = 656
T = 656 - 600
T = 56
Therefore, the age of the teacher is 56 years.

Conclusion:
The age of the teacher in the class of 40 students is 56 years. When the teacher's age is included, the average age of the class increases by 1 year.
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The average age of a class of 40 students is 15 years. When the age of the teacher is also included the average will be increased by 1 year. What is the age of theteacher?
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