To solve this problem, we need to follow these steps:

1. First, we calculate the total age of all the students in the class. We do this by multiplying the average age of the students (16 years) by the number of students (19). This gives us 304 years.

2. Then, we calculate the new total age of the class with the teacher included. We know that the average age increases by 2 years when the teacher is added, so the new average age is 18 years. We also know that there are now 20 people in the class (19 students + 1 teacher), so we multiply the new average age by the new number of people to get 360 years.

3. Finally, we subtract the total age of just the students from the total age of the class with the teacher. This gives us the age of the teacher. So, 360 years - 304 years = 56 years.

Therefore, the teacher is 56 years old.

Question

To solve this problem, we need to follow these steps:

1. First, we calculate the total age of all the students in the class. We do this by multiplying the average age of the students (16 years) by the number of students (19). This gives us 304 years.

2. Then, we calculate the new total age of the class with the teacher included. We know that the average age increases by 2 years when the teacher is added, so the new average age is 18 years. We also know that there are now 20 people in the class (19 students + 1 teacher), so we multiply the new average age by the new number of people to get 360 years.

3. Finally, we subtract the total age of just the students from the total age of the class with the teacher. This gives us the age of the teacher. So, 360 years - 304 years = 56 years.

Therefore, the teacher is 56 years old.

Knowee AI · Accepted Answer

To solve this problem, we need to follow these steps:

1. First, we calculate the total age of all the students in the class. We do this by multiplying the average age of the students (16 years) by the number of students (19). This gives us 304 years.

2. Then, we calculate the new total age of the class with the teacher included. We know that the average age increases by 2 years when the teacher is added, so the new average age is 18 years. We also know that there are now 20 people in the class (19 students + 1 teacher), so we multiply the new average age by the new number of people to get 360 years.

3. Finally, we subtract the total age of just the students from the total age of the class with the teacher. This gives us the age of the teacher. So, 360 years - 304 years = 56 years.

Therefore, the teacher is 56 years old.

The average age of a class. Comprising 19 students, is 16 years. If the age of the teacher is added the average age of the class increases by 2 years. What is the age of the teacher?Options5659987565

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