Solving Consecutive Integers Word Problems

This video tutorial focuses on solving word problems involving consecutive integers. It begins by defining integers and consecutive integers, then explains the difference between even and odd integers. The tutorial provides step-by-step solutions to problems involving consecutive odd and even integers, demonstrating both quick methods and detailed work. It concludes with more advanced problems, offering a comprehensive understanding of the topic.

Which of the following is a set of consecutive integers?

• 2, 4, 6

• 8, 10, 12

• 1, 2, 3

• 3, 5, 7

What is the average of the three consecutive odd integers that sum up to 105?

• 39

• 33

• 35

• 37

If the sum of three consecutive odd integers is 105, what is the lowest integer?

• 31

• 33

• 35

• 37

What is the average of four consecutive even integers that sum up to 116?

• 28

• 29

• 30

• 31

If the sum of four consecutive even integers is 116, what is the sum of the first two integers?

• 50

• 52

• 54

• 56

What is the middle number of five consecutive even integers that sum up to 250?

• 54

• 52

• 50

• 48

If the sum of five consecutive even integers is 250, what is the product of the first and last integers?

• 2484

• 2500

• 2300

• 2400

If the sum of four consecutive even integers is y, what is the first integer in terms of y?

• y/4

• y/4 - 1

• y/4 - 2

• y/4 - 3

What is the sum of the first two integers if the sum of four consecutive even integers is y?

• y/2 - 4

• y/2 - 3

• y/2 - 2

• y/2 - 1

Which of the following represents the sum of the first two integers in terms of y if the first integer is x?

• x + x + 2

• 2x + 2

• x + 2x

• x + 2