How do you solve a consecutive integer?

Answer 1

The following is an example of consecutive integer problems.

Example 1: Consecutive Integer Problem

The sum of the least and greatest of 3 consecutive integers is 60. What are the values of the 3 integers?

Solution:

Step 1: Assign variables : Let x = least integer x+ 1 = middle integer x + 2 = greatest integer

Translate sentence into an equation.

Sentence: The sum of the least and greatest is 60.

Rewrite sentence: x + (x + 2) = 60

Step 2: Solve the equation

Combine like terms 2x + 2 = 60

Isolate variable x2x =58

Step 3: Check your answer 29 + 29 + 2 = 60

The question wants all the 3 consecutive numbers: 29, 30 and 31

Answer: The 3 consecutive numbers are 29, 30 and 31.

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