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Examveda

There is a group of 8 teachers. One teacher leaves the group and a new teacher joins the group. Due to this the average age of teachers becomes same as the average 2 years ago. If the member who left was aged 42 then what is the age (in years) of new teacher?

A. 22

B. 28

C. 24

D. 26

Answer: Option D

Solution(By Examveda Team)

Old teacher age = 42
When one old teacher left the group and joins a new teacher, then average age of group become less 2 years.
∴ New teacher's age =
\[\begin{array}{l} \begin{array}{*{20}{c}} {42 - 8 \times 2}\\ {\,\, \downarrow }\\ {{\rm{total \,number \,of \,teachers}}} \end{array}\\ = 42 - 16\\ = 26{\rm{ \,years}} \end{array}\]

This Question Belongs to Arithmetic Ability >> Average

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