The sum of the first and third of three consecutive even integers is 132. Find the three even integers.

Question

find the even integers 

 

Answer 1

We may represent "three consecutive even integer" as  x, (x+2) and (x+4).

 

"sum of the first and third  ...  is 132"          means

      x  +  (x+4) = 132

 

     2x + 4 = 132                    [collect terms]

     2x = 128                           [subtract 4 from each side]

      x = 64

 

The three consecutive even integers are:   64, 66, 68

 

Check:    64 + 68 = 132