Average age of a class of 30 students and a teacher reduce by 0.5 ,years if we exclude teacher. If i

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The average age of a class of $30$ students and a teacher reduce by $0.5 \,years$ if we exclude the teacher. If the initial average is $14 \,years,$ find the age of the class teacher in $year$ ?

A

$29$

B

$30$

C

$31$

D

$32$

Solution

Let the age of a class teacher $=x$

According to question

$30 \times 13.5+x=14 \times 31 \Rightarrow x=434-405=29$ years

Standard 13

Quantitative Aptitude

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