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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

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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 =(x+20)+3x4

20=(4x+20)4

⇒x=15

Hence, age of the teacher =35 years

Let the age of each student be x years

Then, the age of teacher will be (x+20) years

Mean age =(x+20)+3x4

20=(4x+20)4

⇒x=15

Hence, age of the teacher =35 years

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