the average age of a class of 29 stufents is 20 years . If the age of teacher is included , then the average increases by 3 months . Find the age of the teacher.
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Answer:
27 years 5month
Step-by-step explanation:
Let x years be the age of teacher.
New average increases by 3 months ( 0.25 years )i.e. Total age of 29 plus 1 = 30 members will be= ( 20 + o.25) * 30 =(20.25) * 30 =607.5....(1)
From given data, total age of 29 students = 20 * 29 = 580 years
With 1 teacher added, total age becomes (580 + x) ....(2)
Equating equations (1) and (2), we get
(580+x) =607.5
x = 607.5-580 = 27 years 5month
Therefore , age of teacher = 27 years 5month...Answer
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