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In a class the average age of 30 students is 15 years. If the teacher is included then the average age is increased by one year. Find the age of the teacher.
1. 40 years
2. 45 years
3. 46 years
4. 48 years

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Correct Answer - Option 3 : 46 years

Given :

A class the average age of 30 students = 15 years

the teacher is included then the average age is increased = 1 year

Formula Used 

Average = sum of observation/No. of observation

Calculation :

total age of students = 30 × 15 = 450

⇒ Total age with teacher = 31 × 16 = 496

⇒ Age of teacher = 496  450= 46 years.

∴ The age of the teacher is 46 years.

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