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Standard VI

Mathematics

Introduction to Average

The average a...

Question

The average age of a teacher and three students is $20$ years. If all students are of equal age and the difference between the age of the teacher and that of a student is $20$ years, then the age of the teacher is

25

years

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30

years

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35

years

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45

years

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Solution

The correct option is B $35$ years
Let the age of each student be $x$ years
Then, the age of teacher will be $(x + 20)$ years
Mean age $= \frac{(x + 20) + 3 x}{4}$
$20 = \frac{(4 x + 20)}{4}$
$\Rightarrow x = 15$
Hence, age of the teacher $= 35$ years

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The average age of a teacher and three students is 20 years. If all students are of equal age and the difference between the age of the teacher and that of a student is 20 years, then the age of the teacher is

The correct option is B 35 yearsLet the age of each student be x years Then, the age of teacher will be (x+20) years Mean age =(x+20)+3x420=(4x+20)4⇒x=15 Hence, age of the teacher =35 years

The average age of a teacher and three students is $20$ years. If all students are of equal age and the difference between the age of the teacher and that of a student is $20$ years, then the age of the teacher is

The correct option is B $35$ years
Let the age of each student be $x$ years
Then, the age of teacher will be $(x + 20)$ years
Mean age $= \frac{(x + 20) + 3 x}{4}$
$20 = \frac{(4 x + 20)}{4}$
$\Rightarrow x = 15$
Hence, age of the teacher $= 35$ years