The average age of a class of 50 students increases by 1 year if the age of the teacher is included. If the age of the teacher is 61 years, what is the average age of the class excluding the teacher?

10 years

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11 years

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12 years

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13 years

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Solution

The correct option is A 10 years
Let the initial average be A years. Had the teacher’s age also been A years, the average would have remained the same.

But it increased by 1 year.

So, total increase = 1 × (50 + 1) = 51 years

So, teacher’s age = A + 51 years = 61 years (given)

So, A = 10 years.

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The average age of a class of 50 students increases by 1 year if the age of the teacher is included. If the age of the teacher is 61 years, what is the average age of the class excluding the teacher?

The correct option is A 10 yearsLet the initial average be A years. Had the teacher’s age also been A years, the average would have remained the same. But it increased by 1 year. So, total increase = 1 × (50 + 1) = 51 years So, teacher’s age = A + 51 years = 61 years (given) So, A = 10 years.