To solve this problem, we need to understand that the average is the total sum divided by the number of elements.

Step 1: The total age of all the students is 19 students * 16 years = 304 years.

Step 2: When the teacher's age is added, the average age increases by 2 years. This means the new average age is 18 years.

Step 3: The total number of people now (students + teacher) is 19 students + 1 teacher = 20 people.

Step 4: So, the total age of all the people (students + teacher) is 20 people * 18 years = 360 years.

Step 5: The teacher's age is the total age of all the people (step 4) minus the total age of all the students (step 1). So, the teacher's age is 360 years - 304 years = 56 years.

So, the correct answer is 56.

Question

To solve this problem, we need to understand that the average is the total sum divided by the number of elements.

Step 1: The total age of all the students is 19 students * 16 years = 304 years.

Step 2: When the teacher's age is added, the average age increases by 2 years. This means the new average age is 18 years.

Step 3: The total number of people now (students + teacher) is 19 students + 1 teacher = 20 people.

Step 4: So, the total age of all the people (students + teacher) is 20 people * 18 years = 360 years.

Step 5: The teacher's age is the total age of all the people (step 4) minus the total age of all the students (step 1). So, the teacher's age is 360 years - 304 years = 56 years.

So, the correct answer is 56.

Knowee AI · Accepted Answer

To solve this problem, we need to understand that the average is the total sum divided by the number of elements.

Step 1: The total age of all the students is 19 students * 16 years = 304 years.

Step 2: When the teacher's age is added, the average age increases by 2 years. This means the new average age is 18 years.

Step 3: The total number of people now (students + teacher) is 19 students + 1 teacher = 20 people.

Step 4: So, the total age of all the people (students + teacher) is 20 people * 18 years = 360 years.

Step 5: The teacher's age is the total age of all the people (step 4) minus the total age of all the students (step 1). So, the teacher's age is 360 years - 304 years = 56 years.

So, the correct answer is 56.

Select the correct answerThe 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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