the average age of 40 students is 8 years. if the age of teacher is also included , then their average age increases by half a year. what is the age of the teacher
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Average of 40 students = 8
average of 41 people after including teacher = 8.5
Age of 40 children = 8 x 40 = 320
Age of teacher and students together = 8.5 x 41 = 348.50
Age of teacher = 348.5 - 320 = 28.50years or 28years 6months
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The age of the teacher is 28 years and 6 months.
Step-by-step explanation:
Given:
The average age of 40 children= 8
The average age of students along with teacher= 8.5
To find= the age of the teacher
Solution:
The age of 41 people including the teacher is 8.5
Now, the age of 40 people= 8×40
=320
The age of 41 people in total= 8.5×41
=348.5
Thus, the age of teacher= age of 41 people- age of 41 people
= 348.5-320
=28.5 years
Result:
Thus, the age of the teacher is 28 years and 6 months.
(#SPJ3)
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