Grade 9 : Word problem on Linear equation

 We can translate word problems into equations to solve

1. Find two consecutive integers whose sum is 45

Solution

let us assume one of the integer is x

since its two consecutive integers, the second integer must be x+1

also given, their sum is 45

that is  x + (x+1) = 45

           2x + 1 =45

              2x = 45 -1 =44

              2x =44

              x = 44/2

              x =22

one of the integer is 22

next integer is 22+1 = 23

let check whether if we add these two integers we will be getting 45

22+23 = 45

hence the two consecutive integers are 22 and 23