Question

The average age of 9 children and 1 teacher is 8 years 2 months. If the
average age of 9 children is 6 years 2 months, find the age of the teacher.​

Answer 1

Let there be x children.

I gives, age of teacher =x years.

II gives, average age of (x+1) persons =(x+1)years.

∴ Teacher's age =(x+1)(x+1)−x

2

=(x

2

+1+2x)−x

2

=(1+2x)

Answer 2

Answer:

47 years and 6 months

Step-by-step explanation:

Let Average age of children = Ages of children/Number of children

6.2 = sum of ages of children/9

Sum of age of children = 6.2×9 = 55.8 or 55 years 8 months

Average age of 9 children and 1 teacher = Sum of ages of children and 1 teacher/ Number of persons

8.2 = (55.8 + age of teacher) / 10

Age of teacher = 55.8 - 8.2

Age of the teacher = 47. 6

So the age of teacher is 47 years and 6 months

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