Question

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

Answers

  1. 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 ❣️

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