The average age of a class of 15 children per class is 30, and if their class teacher is adding to the class, the average age of a class is 32, what is the teacher's age?
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Let x years be the age of teacher.
New average increases by 3 months ( 0.25 years )i.e. Total age of 39 plus 1 = 40 members will be= ( 15 + o.25) * 40 =(15.25) * 40 =610....(1)
From given data, total age of 39 students = 15 * 39 = 585 years
With 1 teacher added, total age becomes (585 + x) ....(2)
Equating equations (1) and (2), we get
(585+x) =610
x = 610-585 = 25 years
Therefore , age of teacher = 25 years...Answer
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