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Consecutive Integer Word Problems

On the previous page, we determined that

x = 45

The answer to the equation (shown above) must now be used to find the answer to the word problem. Go back to the top of the paper you used to solve this problem. It should contain the following work:

Let x = The First Consecutive Number
Let x + 1 = The Second Consecutive Number

Since you now know that x equals 45, and that the First Consecutive Number equals x, you can show this in the work like we did below.

Let x = The First Consecutive Number = 45
Let x + 1 = The Second Consecutive Number

Since x equals 45 and the Second Consecutive Number equals x + 1 you can simply add 1 to 45, to find that the Second Consecutive Number is 46. It should be shown like the work below.

Let x = The First Consecutive Number = 45
Let x + 1 = The Second Consecutive Number = 46

This problem is now completed. If you did all of the work correctly, it should appear as ours does below.

Sample Problem Work

Let x = The First Consecutive Number = 45
Let x + 1 = The Second Consecutive Number = 46
x + (x + 1) = 91
 
2x + 1 = 91
 
2x = 90
 
x = 45

Go on to the next page to learn about what to do when you encounter more than two consecutive numbers, negative consecutives, and even or odd consecutives.


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