arrow
arrow
arrow
The average age of 59 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
Question

The average age of 59 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:

A.

81

B.

83

C.

84

D.

82

Correct option is D

Given:

The average age of 59 students = 22 years

The average age of the whole group (59 students + 1 teacher) = 23 years

Formula Used:

Total age of the group = Average age of the group × Number of people in the group

Solution:

Total age of 59 students: = 22 × 59 = 1298 years

Total age of 60 people (59 students + teacher) = 23 × 60 = 1380 years

Teacher’s age = 1380 – 1298 = 82 years

Thus, the age of the teacher is 82 years.

Alternate Solution: 

If the teacher age is included the increase in the age = 23 - 22 = 1 year 

total increase =  1×601\times 60 = 60 year 

So, the teacher age = 22 + 60 = 82 year

Free Tests

Free
Must Attempt

SSC GD PYP (Held on 4 Feb 2025 S1)

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
Free
Must Attempt

SSC GD Constable Exam Day Based Mock 1

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
Free
Must Attempt

Mathematics Section Test 1

languageIcon English
  • pdpQsnIcon20 Questions
  • pdpsheetsIcon40 Marks
  • timerIcon25 Mins
languageIcon English

Similar Questions

test-prime-package

Access ‘SSC GD’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
446k+ students have already unlocked exclusive benefits with Test Prime!

Similar Questions

Our Plans
Monthsup-arrow