SOLUTION: the average age of 33 boys and the class teacher in a class in 14 years.if the class teacher's age is 47 years.what would the average age of only the boys?

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Question 763569: the average age of 33 boys and the class teacher in a class in 14 years.if the class teacher's age is 47 years.what would the average age of only the boys?
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
Let the average age of the boys be x.
Then the total age of the boys = 33*x
Total age of the class including the teacher = 33*x + 47 (since the teacher is 47 years old)
No. of people in the class including the teacher = 34
Average age of the class (including the teacher) is given to be 14.
So we have %2833%2Ax+%2B+47%29%2F34+=+14
Cross multiplying and solving for x,
33%2Ax+%2B+47+=+34%2A+14+=+476
33%2Ax+=+476+-+47+=+429
x+=+429%2F33+=+13

Average age of the boys = 13 years.

:)