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 by the number of students. So, 18 years * 15 students = 270 years.

2. Then, we calculate the total age of all the students plus the teacher. We know that the average age increases by 2 years when the teacher is included, so the new average age is 20 years. Since there are now 16 people in the class (15 students + 1 teacher), we multiply the new average age by the new total number of people. So, 20 years * 16 people = 320 years.

3. Finally, we subtract the total age of all the students from the total age of all the students plus the teacher to find the age of the teacher. So, 320 years - 270 years = 50 years.

Therefore, the age of the teacher is 50 years old, so the answer is d. 50.

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 by the number of students. So, 18 years * 15 students = 270 years.

2. Then, we calculate the total age of all the students plus the teacher. We know that the average age increases by 2 years when the teacher is included, so the new average age is 20 years. Since there are now 16 people in the class (15 students + 1 teacher), we multiply the new average age by the new total number of people. So, 20 years * 16 people = 320 years.

3. Finally, we subtract the total age of all the students from the total age of all the students plus the teacher to find the age of the teacher. So, 320 years - 270 years = 50 years.

Therefore, the age of the teacher is 50 years old, so the answer is d. 50.

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 by the number of students. So, 18 years * 15 students = 270 years.

2. Then, we calculate the total age of all the students plus the teacher. We know that the average age increases by 2 years when the teacher is included, so the new average age is 20 years. Since there are now 16 people in the class (15 students + 1 teacher), we multiply the new average age by the new total number of people. So, 20 years * 16 people = 320 years.

3. Finally, we subtract the total age of all the students from the total age of all the students plus the teacher to find the age of the teacher. So, 320 years - 270 years = 50 years.

Therefore, the age of the teacher is 50 years old, so the answer is d. 50.

The average age of a class of 15 students is 18 years. The average increases by 2 years, if the age of a teacher is included. What is the age of the teacher?a.55b.35c.45d.50

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