# The sum of three consecutive integers is 258. How do you find the three integers?

Nov 4, 2016

$\text{The consecutive integers are 85,86,87}$

#### Explanation:

$n : \text{the first number}$

$n + 1 : \text{the second number}$

$n + 2 : \text{the third number}$

$n + \left(n + 1\right) + \left(n + 2\right) = 258$

$3 n + 3 = 258$

$3 n = 258 - 3$

$3 n = 255$

$n = \frac{255}{3}$

$n = 85$

$n + 1 = 85 + 1 = 86$

$n + 2 = 85 + 2 = 87$