SOLUTION: The average of a class of 40 students is 12 years. if the teacher's age is also included, the average age increases by one year. The teacher's age is?

Question 504466: The average of a class of 40 students is 12 years. if the teacher's age is also included, the average age increases by one year. The teacher's age is?
Answer by geetha_rama(94) (Show Source): You can put this solution on YOUR website!
Assume x be the Age of the student.
Average age of 40 students = 12 years
Total age is :
40x = 12*40
40x = 480 -> Equation 1
Let teachers age be y
Average age of 41 people (40 studenets + 1 teacher) = 13 years
Hence total age
40x + y = 533 -> Equation 2
Subtracting equation 1 from equation 2, we get
y = 53
Age of teacher = 53 years
RELATED QUESTIONS
the average age of 40 students is 12 years.If the teacher age is also included,the... (answered by ankor@dixie-net.com)

the average of a class of 22 students is 21 years. the average increases by 1 when the... (answered by Alpha Maximus)

average age of 25 students is 17 years. If we add the age of teacher also, average age... (answered by josmiceli)

the average age of five members family is 18 years, if the age of grandfather is included (answered by Cromlix)

The average age of 29 boys in the class is 14 years. When the age of the class teacher is (answered by josgarithmetic)

the average age of 4 brother is 12 years. if tha age of their mother is also included... (answered by dkppathak)

Eight students of average 13 years leave a class of 30 students of average age 15 years.... (answered by ramkikk66)

the average age of 4 brothers is 12 .if the average age of their mother included the... (answered by stanbon)

The average age of 24 boys and a class teacher is 15 years. if the teacher left the... (answered by josgarithmetic)