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The average age of 24 boys in a class is 16. If the teacher is included and one boy is excluded from the group, the average increases by one. The age of the teacher is: OptionsData insufficient525150

Question

The average age of 24 boys in a class is 16. If the teacher is included and one boy is excluded from the group, the average increases by one. The age of the teacher is: OptionsData insufficient525150

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Solution

The problem can be solved in the following steps:

Step 1: Calculate the total age of the 24 boys. Since the average age is 16, the total age is 24 * 16 = 384 years.

Step 2: When one boy is excluded and the teacher is included, the average age increases by one to 17. The total number of people is now 24 (23 boys + 1 teacher), so the total age is 24 * 17 = 408 years.

Step 3: The difference between the total age in step 2 and the total age in step 1 is the age of the teacher. So, the teacher's age is 408 - 384 = 24 years.

Therefore, the age of the teacher is 24 years.

This problem has been solved

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