How do you find three consecutive even integers whose sum is 138?

1 Answer
May 8, 2016

The integers are:
color(blue)(44 , 46 and color(blue)(48

Explanation:

Let the three consecutive even integers be denoted as :

color(blue)( x , x+2 , x+4

x + x + 2 + x + 4 = 138

3x + 6 = 138

3x = 138 - 6

3x = 132

x = 132/ 3

x = 44

The integers are:

  • x = color(blue)(44
  • x + 2 = color(blue)(46
  • x + 4 = 44 +4 = color(blue)(48