The average age of a class of $39$ students is $15$ years. If the age of the teacher is included, then the average increases by $3$ months. Find the age of the teacher.

30

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35

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25

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20

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Solution

The correct option is C $25$
Total age of $39$ persons $= (39$ $\times$ 15)years $= 585$ years Average age of $40$ persons $= 15$ years $3$ months
$= \frac{61}{4}$ years
Total age of $40$ persons $= (\frac{61}{4} \times 40)$ years $= 610$ years
$∴$ Age of the teacher $= (610 - 585)$ years $= 25$ years

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The average age of a class of 39 students is 15 years. If the age of the teacher is included, then the average increases by 3 months. Find the age of the teacher.

The correct option is C 25Total age of 39 persons=(39×15)years=585 years Average age of 40 persons=15 years 3 months=614 yearsTotal age of 40 persons =(614×40) years =610 years∴ Age of the teacher =(610−585) years=25 years

The average age of a class of $39$ students is $15$ years. If the age of the teacher is included, then the average increases by $3$ months. Find the age of the teacher.