Consecutive Numbers - Examples and Questions with Answers

algebra May 27, 2021
Consecutive Numbers

What are Consecutive Numbers?

Whole numbers that follow each other in ascending order are known as consecutive numbers. Examples of consecutive numbers are 1, 2, 3, 4, 5 or 100, 101, 102, 103, and so on.

Examples of Consecutive Numbers in real life

Consecutive numbers are practically used everywhere.

  • The chapters in a book,
  • The number of floors in a building,
  • The number of days in a month,
  • Roll number of pupils in a school,
  • The result of a running competition.

are some of the examples where consecutive numbers are in use.

Consecutive Numbers Word Problems

Questions:

  1. The sum of two consecutive numbers is 33. Find the numbers.
  2. The sum of two consecutive numbers is 31. What is the product of the two numbers?
  3. The sum of three consecutive numbers is 42. What are the three numbers?
  4. The average of three consecutive numbers is 35. What is the third number?
  5. The sum of four consecutive numbers is 50. What is the sum of the second and the fourth number?

Answers:

  1. 16, 17
  2. 240
  3. 13, 14, 15
  4. 36
  5. 26

📄 Download Consecutive Numbers Word Problems Worksheet with Answers.

 

Consecutive Even Numbers Word Problems

Even numbers are those numbers that end in 0, 2, 4, 6, 8. Similar to consecutive numbers we can define even consecutive numbers as even numbers that follow each other in ascending order. Examples of even consecutive numbers are 12, 14, 16, 18 or 100, 102, 104, 106, and so on.

Questions:

  1. The sum of two even consecutive numbers is 42. What are the two numbers?
  2. The sum of the first and the third even consecutive number is 40. Find the three numbers.
  3. The sum of three even consecutive numbers is 96. Find the sum of the next three even consecutive numbers.
  4. Verify the statement. Is the sum of three even consecutive numbers equal to three times the middle number?
  5. The average of two even consecutive numbers is equal to 23. What is the average of the next three numbers?

Answers:

  1. 20, 22
  2. 18, 20, 22
  3. 114
  4. 66
  5. 84

 ðŸ“„ Download Even Consecutive Numbers Word Problems Worksheet with Answers.

 

Consecutive Odd Numbers Word Problems

Odd numbers are those numbers that end in 1, 3, 5, 7, 9. Similar to even consecutive numbers we can define odd consecutive numbers as odd numbers that follow each other in ascending order. Examples of odd consecutive numbers are 21, 23, 25, 27 or 101, 103, 105, 107, and so on.

Questions:

  1. The sum of two odd consecutive numbers is 44. Find the numbers.
  2. The sum of the second and third odd consecutive number is 36. What are the three numbers?
  3. The average of the first and the third odd consecutive numbers is 43. Find the three numbers.
  4. Two times the first odd consecutive plus three times the second odd consecutive is 61. What are the two odd consecutive numbers?
  5. The sum of four consecutive odd numbers is 136. What is the sum of the first and the last number?

Answers:

  1. 21, 23
  2. 15, 17, 19
  3. 41, 43, 45
  4. 11, 13
  5. 68

📄 Download Odd Consecutive Numbers Word Problems Worksheet with Answers.

 

Consecutive Multiples Word Problems

 Multiples are numbers that come in the times’ table of a number. For example 3, 6, 9, 12, 15 are multiples of 3. Similar to consecutive numbers we can define consecutive multiples as multiples that follow each other in ascending order. Examples of consecutive multiples are 12, 16, 22, 26, 30 or 21, 28, 35, 42, 49, and so on.

Questions:

  1. The sum of two consecutive multiples of 4 is equal to 44. Find the two numbers.
  2. The average of three consecutive multiples of 6 is 30. Find the fourth number.
  3. The average of the first and the second multiple of three consecutive multiples of 4 is 14. Find the three numbers.
  4. Three consecutive multiples of 5 have a sum equal to 150. What are the next three numbers?
  5. Three times the first consecutive multiple of 8 plus 2 times the second consecutive multiple of 8 is 56. Find the average of the first five multiples?

Answers:

  1. 20, 24
  2. 42
  3. 12,16, 20
  4. 60, 65, 70
  5. 48

📄  Download Consecutive Multiples Word Problems Worksheet with Answers.

 

How to solve Consecutive Numbers Problems?

 

Example 1: The sum of the first and the third even consecutive number is 40. Find the three numbers.

Solution:


 

Example 2: The sum of the second and third odd consecutive number is 36. What are the three numbers?

Solution:


 

Example 3: The average of three consecutive multiples of 6 is 30. Find the fourth number.

Solution:


 

Now that we have learned about consecutive numbers, all we need is more practice. Before we conclude this post there are a few key points that we must take away.

  • Numbers that follow each other are called consecutive numbers.
  • Similar to consecutive numbers, we have consecutive even numbers, consecutive odd numbers, and consecutive multiples.
  • In general, consecutive numbers can be written as n, n + 1, n + 2, …
  • Even or Odd consecutive numbers can be expressed as n, n + 2, n + 4, …

To learn more about 11+ Advanced Algebra topics, word problems and how to solve them, view our video lessons on Advanced Algebra Word Problems for 11+ Exams.

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