SSC CHSL Exam > SSC CHSL Questions > There are 17 persons in a group. The average ...
Start Learning for Free
There are 17 persons in a group. The average age of 16 persons among them is 60.50 years and the age of 17th person is 8 years more than the average age of all the 17 persons. What is the age of the 17th person?
- a)54 years
- b)64 years
- c)60 years
- d)69 years
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
There are 17 persons in a group. The average age of 16 persons among t...
Let the average age of all the 17 persons = X years
Age of 17th persons = X + 8 years
16 × 60.50 + X + 8 = 17 × X
976 = 16X
X = 61
So the answer = 61 + 8 = 69 years
Hence, Option D is correct.
Age of 17th persons = X + 8 years
16 × 60.50 + X + 8 = 17 × X
976 = 16X
X = 61
So the answer = 61 + 8 = 69 years
Hence, Option D is correct.
Most Upvoted Answer
There are 17 persons in a group. The average age of 16 persons among t...
Understanding the Problem
We have a group of 17 persons, where the average age of 16 persons is given as 60.50 years. We need to find the age of the 17th person, who is 8 years older than the average age of all 17 persons.
Step 1: Calculate the Total Age of 16 Persons
- Average age of 16 persons = 60.50 years
- Total age of 16 persons = Average age × Number of persons = 60.50 × 16 = 968 years
Step 2: Establish the Average Age of All 17 Persons
Let the average age of all 17 persons be "A".
- The total age of all 17 persons = Total age of 16 persons + Age of 17th person
- Therefore, Total age = 968 + Age of 17th person
Since the average age "A" can also be expressed as:
- A = Total age of all 17 persons ÷ 17
We can write:
A = (968 + Age of 17th person) / 17
Step 3: Age of the 17th Person
According to the problem, the age of the 17th person is 8 years more than the average age A:
- Age of 17th person = A + 8
Now, substituting this into our average equation gives:
A = (968 + (A + 8)) / 17
Simplifying this equation leads to finding the value of "A".
Step 4: Solve for A
Rearranging the equation:
17A = 968 + A + 8
- 16A = 976
- A = 61
Step 5: Calculate the Age of the 17th Person
The age of the 17th person = A + 8 = 61 + 8 = 69 years.
Conclusion
Thus, the age of the 17th person is 69 years. The correct answer is option 'D'.
We have a group of 17 persons, where the average age of 16 persons is given as 60.50 years. We need to find the age of the 17th person, who is 8 years older than the average age of all 17 persons.
Step 1: Calculate the Total Age of 16 Persons
- Average age of 16 persons = 60.50 years
- Total age of 16 persons = Average age × Number of persons = 60.50 × 16 = 968 years
Step 2: Establish the Average Age of All 17 Persons
Let the average age of all 17 persons be "A".
- The total age of all 17 persons = Total age of 16 persons + Age of 17th person
- Therefore, Total age = 968 + Age of 17th person
Since the average age "A" can also be expressed as:
- A = Total age of all 17 persons ÷ 17
We can write:
A = (968 + Age of 17th person) / 17
Step 3: Age of the 17th Person
According to the problem, the age of the 17th person is 8 years more than the average age A:
- Age of 17th person = A + 8
Now, substituting this into our average equation gives:
A = (968 + (A + 8)) / 17
Simplifying this equation leads to finding the value of "A".
Step 4: Solve for A
Rearranging the equation:
17A = 968 + A + 8
- 16A = 976
- A = 61
Step 5: Calculate the Age of the 17th Person
The age of the 17th person = A + 8 = 61 + 8 = 69 years.
Conclusion
Thus, the age of the 17th person is 69 years. The correct answer is option 'D'.
|
Explore Courses for SSC CHSL exam
|
|
Top Courses for SSC CHSLView all
Question Description
There are 17 persons in a group. The average age of 16 persons among them is 60.50 years and the age of 17th person is 8 years more than the average age of all the 17 persons. What is the age of the 17th person?a)54 yearsb)64 yearsc)60 yearsd)69 yearsCorrect answer is option 'D'. Can you explain this answer? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about There are 17 persons in a group. The average age of 16 persons among them is 60.50 years and the age of 17th person is 8 years more than the average age of all the 17 persons. What is the age of the 17th person?a)54 yearsb)64 yearsc)60 yearsd)69 yearsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 17 persons in a group. The average age of 16 persons among them is 60.50 years and the age of 17th person is 8 years more than the average age of all the 17 persons. What is the age of the 17th person?a)54 yearsb)64 yearsc)60 yearsd)69 yearsCorrect answer is option 'D'. Can you explain this answer?.
There are 17 persons in a group. The average age of 16 persons among them is 60.50 years and the age of 17th person is 8 years more than the average age of all the 17 persons. What is the age of the 17th person?a)54 yearsb)64 yearsc)60 yearsd)69 yearsCorrect answer is option 'D'. Can you explain this answer? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about There are 17 persons in a group. The average age of 16 persons among them is 60.50 years and the age of 17th person is 8 years more than the average age of all the 17 persons. What is the age of the 17th person?a)54 yearsb)64 yearsc)60 yearsd)69 yearsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 17 persons in a group. The average age of 16 persons among them is 60.50 years and the age of 17th person is 8 years more than the average age of all the 17 persons. What is the age of the 17th person?a)54 yearsb)64 yearsc)60 yearsd)69 yearsCorrect answer is option 'D'. Can you explain this answer?.
Solutions for There are 17 persons in a group. The average age of 16 persons among them is 60.50 years and the age of 17th person is 8 years more than the average age of all the 17 persons. What is the age of the 17th person?a)54 yearsb)64 yearsc)60 yearsd)69 yearsCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CHSL.
Download more important topics, notes, lectures and mock test series for SSC CHSL Exam by signing up for free.
Here you can find the meaning of There are 17 persons in a group. The average age of 16 persons among them is 60.50 years and the age of 17th person is 8 years more than the average age of all the 17 persons. What is the age of the 17th person?a)54 yearsb)64 yearsc)60 yearsd)69 yearsCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
There are 17 persons in a group. The average age of 16 persons among them is 60.50 years and the age of 17th person is 8 years more than the average age of all the 17 persons. What is the age of the 17th person?a)54 yearsb)64 yearsc)60 yearsd)69 yearsCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for There are 17 persons in a group. The average age of 16 persons among them is 60.50 years and the age of 17th person is 8 years more than the average age of all the 17 persons. What is the age of the 17th person?a)54 yearsb)64 yearsc)60 yearsd)69 yearsCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of There are 17 persons in a group. The average age of 16 persons among them is 60.50 years and the age of 17th person is 8 years more than the average age of all the 17 persons. What is the age of the 17th person?a)54 yearsb)64 yearsc)60 yearsd)69 yearsCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice There are 17 persons in a group. The average age of 16 persons among them is 60.50 years and the age of 17th person is 8 years more than the average age of all the 17 persons. What is the age of the 17th person?a)54 yearsb)64 yearsc)60 yearsd)69 yearsCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC CHSL tests.
|
|
Explore Courses for SSC CHSL exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup