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The average age of the class having 35 student is 14 years when the age of the class teacher is added to the sum of the ages of the student the average Rises by 0.5 what must be the age of teacher?
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The average age of the class having 35 student is 14 years when the ag...
Problem Statement:

The average age of the class having 35 students is 14 years. When the age of the class teacher is added to the sum of the ages of the students, the average rises by 0.5. What must be the age of the teacher?

Solution:

Let the age of the teacher be 'x'.

The sum of the ages of the 35 students will be (35 x 14) = 490 years.

When the age of the teacher is added, the total age becomes (490 + x) years.

The new average is given by [(490 + x) / 36] years.

According to the problem, the new average is 14.5 years.

Hence, we can write:

[(490 + x) / 36] = 14.5

Simplifying the above equation, we get:

490 + x = 36 x 14.5 = 522

x = 522 - 490 = 32 years

Therefore, the age of the teacher is 32 years.

Conclusion:

Hence, the age of the teacher is 32 years.
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The average age of the class having 35 student is 14 years when the age of the class teacher is added to the sum of the ages of the student the average Rises by 0.5 what must be the age of teacher?
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