A group of 20 students attempting a mathematical challenge have an average age of 11.When their teacher is included their average age is 12. What is the age of the teacher

Respuesta :

Answer:

Teacher's age is 32.

Step-by-step explanation:

How you count the average age for people is:
(age of person 1 + age of person 2 ... ) / number of people = average age

Let's start by observing that we've got 2 equations coming from the text:

  • average of just students
    20 students x 11 (average for a student) = sum of age of students
    20 x 11 = 220
  • average of student and teacher
    let's say x is age of teacher
    together students & teacher is 20 + 1 = 21 people
    (20 students x 11 + x)/ (20 + 1) = 12
    (220 + x) / 21 = 12
    220 + x = 12 * 21
    x = 12 *21 - 220
    x = 252 - 220
    x = 32


hope this helps ❣️