Answer:
Age of teacher = 32 years
Therefore, the correct answer is (b)
Step-by-step explanation:
We know that average is given by
Average age = Sum of ages /no. of students
We are given that the average age of 15 students is 16 years.
16 = Sum of ages/15
Sum of ages = 16×15
Sum of ages = 240
We are given that If teacher’s age is included the average increases by 1.
16 + 1 = New sum of ages/15 + 1
17 = New sum of ages/16
New sum of ages = 17×16
New sum of ages = 272
So the age of the teacher is found by
Age of teacher = New sum of ages - Sum of ages
Age of teacher = 272 - 240
Age of teacher = 32 years
Therefore, the correct answer is (b)
