The average age of $29$ boys of a class is equal to $14$ years. When the age of the class teacher is included the average becomes $15$ years. Find the age of the class teacher.

44 y e a r s

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40 y e a r s

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52 y e a r s

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66 y e a r s

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Solution

The correct option is A $44 y e a r s$
Average age of $29$ boys $= 14$ years
When teacher included average $= 15 y e a r s$
Age of teacher $= 30 \times 15 - 29 \times 14$
$= 450 - 406 = 44 y e a r s$ .

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The average age of 29 boys of a class is equal to 14 years. When the age of the class teacher is included the average becomes 15 years. Find the age of the class teacher.

The correct option is A 44 yearsAverage age of 29 boys =14 yearsWhen teacher included average =15 yearsAge of teacher =30×15−29×14=450−406=44 years.

The average age of $29$ boys of a class is equal to $14$ years. When the age of the class teacher is included the average becomes $15$ years. Find the age of the class teacher.

The correct option is A $44 y e a r s$
Average age of $29$ boys $= 14$ years
When teacher included average $= 15 y e a r s$
Age of teacher $= 30 \times 15 - 29 \times 14$
$= 450 - 406 = 44 y e a r s$ .