The average age of a class of 35 students is 14 years. if the teacher age is included the average age increase by one year. Find the age of the teacher
The average age of a class of 35 students is 14 years. if the teacher age is included the average age increase by one year. Find the age of the teacher
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Answer:
50 years.
Step-by-step explanation:
Since, the average age of a class of 35 students is 14 years.
Thus, the total sum of the age of students = 35 × 14 = 490,
Now, after increasing the average age by one years,
New average age of the class ( included teacher ) = 14 + 1 = 15 years,
While the number of persons = 35 students + 1 teacher
= 36 persons,
Thus, the total sum of the age of class ( included teacher ) = 15 × 36 = 540.
Hence, the age of teacher = Total sum of the age of class ( included teacher ) - Total sum of the ages of students
= 540 - 490
= 50 years.