ACT Exam > ACT Questions > The average of 7 consecutive numbers is 16. W...
Start Learning for Free
The average of 7 consecutive numbers is 16. What is the sum of the least and greatest of the 7 integers?
- a)13
- b)14
- c)16
- d)19
- e)32
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
The average of 7 consecutive numbers is 16. What is the sum of the lea...
Given:
- Average of 7 consecutive numbers is 16.
To find:
- Sum of the least and greatest of the 7 integers.
Solution:
Step 1: Understanding the problem
- We are given that the average of 7 consecutive numbers is 16.
- We need to find the sum of the least and greatest of the 7 integers.
Step 2: Finding the middle number
- Since the average of 7 consecutive numbers is 16, the middle number must also be 16.
- The middle number is the fourth number in the sequence of 7 consecutive numbers.
Step 3: Finding the other numbers
- Since the numbers are consecutive, we can find the other numbers by subtracting or adding 1 from the middle number.
- The numbers can be represented as: (n-3), (n-2), (n-1), n, (n+1), (n+2), (n+3), where n is the middle number (16).
- The sequence will be: 13, 14, 15, 16, 17, 18, 19.
Step 4: Finding the sum of the least and greatest numbers
- The least number in the sequence is 13 and the greatest number is 19.
- The sum of the least and greatest numbers is 13 + 19 = 32.
Step 5: Answer
- Therefore, the sum of the least and greatest of the 7 integers is 32.
- Hence, the correct answer is option E.
- Average of 7 consecutive numbers is 16.
To find:
- Sum of the least and greatest of the 7 integers.
Solution:
Step 1: Understanding the problem
- We are given that the average of 7 consecutive numbers is 16.
- We need to find the sum of the least and greatest of the 7 integers.
Step 2: Finding the middle number
- Since the average of 7 consecutive numbers is 16, the middle number must also be 16.
- The middle number is the fourth number in the sequence of 7 consecutive numbers.
Step 3: Finding the other numbers
- Since the numbers are consecutive, we can find the other numbers by subtracting or adding 1 from the middle number.
- The numbers can be represented as: (n-3), (n-2), (n-1), n, (n+1), (n+2), (n+3), where n is the middle number (16).
- The sequence will be: 13, 14, 15, 16, 17, 18, 19.
Step 4: Finding the sum of the least and greatest numbers
- The least number in the sequence is 13 and the greatest number is 19.
- The sum of the least and greatest numbers is 13 + 19 = 32.
Step 5: Answer
- Therefore, the sum of the least and greatest of the 7 integers is 32.
- Hence, the correct answer is option E.
Community Answer
The average of 7 consecutive numbers is 16. What is the sum of the lea...
The correct answer is E. You can apply common sense to solve this problem. If the average of 7 consecutive integers is 16, it would make sense that the middle number is 16 (this assumption only holds because there are an odd number of integers and because the integers are consecutive). Thus, the list of consecutive integers is 13, 14, 15, 16, 17, 18, 19. The sum of the first and last integers is 13 + 19 = 32.
|
Explore Courses for ACT exam
|
|
Similar ACT Doubts
Top Courses for ACTView all
The average of 7 consecutive numbers is 16. What is the sum of the least and greatest of the 7 integers?a)13b)14c)16d)19e)32Correct answer is option 'E'. Can you explain this answer?
Question Description
The average of 7 consecutive numbers is 16. What is the sum of the least and greatest of the 7 integers?a)13b)14c)16d)19e)32Correct answer is option 'E'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about The average of 7 consecutive numbers is 16. What is the sum of the least and greatest of the 7 integers?a)13b)14c)16d)19e)32Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of 7 consecutive numbers is 16. What is the sum of the least and greatest of the 7 integers?a)13b)14c)16d)19e)32Correct answer is option 'E'. Can you explain this answer?.
The average of 7 consecutive numbers is 16. What is the sum of the least and greatest of the 7 integers?a)13b)14c)16d)19e)32Correct answer is option 'E'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about The average of 7 consecutive numbers is 16. What is the sum of the least and greatest of the 7 integers?a)13b)14c)16d)19e)32Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of 7 consecutive numbers is 16. What is the sum of the least and greatest of the 7 integers?a)13b)14c)16d)19e)32Correct answer is option 'E'. Can you explain this answer?.
Solutions for The average of 7 consecutive numbers is 16. What is the sum of the least and greatest of the 7 integers?a)13b)14c)16d)19e)32Correct answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for ACT.
Download more important topics, notes, lectures and mock test series for ACT Exam by signing up for free.
Here you can find the meaning of The average of 7 consecutive numbers is 16. What is the sum of the least and greatest of the 7 integers?a)13b)14c)16d)19e)32Correct answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The average of 7 consecutive numbers is 16. What is the sum of the least and greatest of the 7 integers?a)13b)14c)16d)19e)32Correct answer is option 'E'. Can you explain this answer?, a detailed solution for The average of 7 consecutive numbers is 16. What is the sum of the least and greatest of the 7 integers?a)13b)14c)16d)19e)32Correct answer is option 'E'. Can you explain this answer? has been provided alongside types of The average of 7 consecutive numbers is 16. What is the sum of the least and greatest of the 7 integers?a)13b)14c)16d)19e)32Correct answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The average of 7 consecutive numbers is 16. What is the sum of the least and greatest of the 7 integers?a)13b)14c)16d)19e)32Correct answer is option 'E'. Can you explain this answer? tests, examples and also practice ACT tests.
|
|
Explore Courses for ACT 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