The sum of three consecutive even integers is 312. What are the integers?

Mar 10, 2017

$\text{ } 102 , 104 , 106$

Explanation:

$\text{ let "2x=" the middle number}$

$\text{the first number is then } 2 x - 2$

$\text{the last number } 2 x + 2$

so

$2 x \cancel{- 2} + 2 x + 2 x + \cancel{2} = 312$

$6 x = 312$

$x = \frac{312}{6} = 52$

$2 x = 2 \times 52 = 104$

$2 x - 2 = 104 - 2 = 102$

$2 x + 2 = 104 + 2 = 106$