Question
Download Solution PDFThe average age of 48 students of a class is 22 years. If the age of the teacher is also included, the average age of the whole group becomes 23 years. The age (in years) of the teacher is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The average age of 48 students = 22 years
The average age of the whole group (48 students + 1 teacher) = 23 years
Formula used:
Total age of students = Average age × Number of students
Total age of the group = Average age × Number of people in the group
Age of the teacher = Total age of the group - Total age of students
Calculation:
Total age of 48 students = 22 × 48
⇒ Total age of 48 students = 1056
Total age of 49 people (students + teacher) = 23 × 49
⇒ Total age of 49 people = 1127
Age of the teacher = Total age of 49 people - Total age of 48 students
⇒ Age of the teacher = 1127 - 1056
⇒ Age of the teacher = 71
∴ The correct answer is option 4.
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