# The sum of three consecutive even integers is 54. How do you find the integers?

Jul 29, 2016

=17; 18 and 19

#### Explanation:

Sum of three consecutive integers can be written as
$\left(a - 1\right) + a + \left(a + 1\right) = 54$
or
$3 a - 1 + 1 = 54$
or
$3 a + 0 = 54$
or
$3 a = 54$
or
$a = \frac{54}{3}$
$a = 18$

So we get the three integers as

$a - 1$

$= 18 - 1$
$= 17$========Ans $1$

$a = 18$=======Ans $2$

and $a + 1$

$= 18 + 1$
$= 19$========Ans $3$