What will the Age of Teacher?

The average age of 24 boys and their teacher is 15 years. When the teacher’s age is excluded, the average age decreases by 1 year. The age of teacher is-

  1. 38 years
  2. 39 years
  3. 40 years
  4. 41 years
Monis Rasool Professor Asked on 21st May 2015 in Maths.
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1 Answer(s)

Answer: (1) 38 years
The average of 24 boys and their teacher = 15 years

Total age 24 boys and teacher = 24 x 15 = 360 years

When, teacher is excluded then remains boy = 24 – 1 = 23 boys

And the average decreases by 1 year

New average = 15 – 1 = 14

Total age of 23 boys = 23 x 14 = 322 years

The age of teacher = 360 – 322 = 38 years            Ans.

Hence, the age of teacher is 38 years.

Anurag Mishra Professor Answered on 22nd May 2015.
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