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  4. 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-

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Q. 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-

Statistics

Solution:

Let the age of each student is $x$ years then the age of teacher is $( x +20)$ years
$\frac{(x+20)+3 x}{4}=20 \Rightarrow x=15$
Hence age of the teacher $=35$ years