Algebra Word Problems

                    Lesson 1

                                 

                                                            Problem:                   The sum of consecutive even numbers is 186. What are numbers?

 

                                                            Solution Let x + 1 and x + 3 be two consecutive even numbers

Step 1:                    

 

Solution                                  

                                                            Step 2:                    x + 1 + x + 3 = 2x + 4

                                               2x + 4 = 186

 

Solution Solving the equation 2x + 4 = 186

Step 3:                                                           = 2x = 182

                                                          = x = 182/2

                                                          = x = 91

 

                             Then x + 1 = 92 and x + 3 = 94

 

Solution

Step 4:                     

Complete The answer is:  92,94

                                                                                                           

 

                                                             Try two practice problems:

 

A.

The sum of two consecutive integers is 67. Name the integers.

B.

The product of two consecutive even numbers is 20. Find the numbers.

 

 

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