# The sum of three consecutive integers equal 417. What are the integers?

Aug 19, 2016

The integers are 138;139 and 140

#### Explanation:

Let the three consecutive integers be (a-1); a; and (a+1)

So we can write sum of these as

$\left(a - 1\right) + a + \left(a + 1\right) = 417$

or

$3 a = 417$

or

$a = \frac{417}{3}$

or

$a = 139$

therefore the integers are 138;139 and 140

Aug 19, 2016

$138 , 139 , 140$

#### Explanation:

Call the middle number $x$ so the three consecutive integers will be $\left(x - 1\right) , x , \left(x + 1\right)$

Summing:

$\left(x - 1\right) + x + \left(x + 1\right) = 417$

$3 x = 417$

$x = 139$

Middle number is 139 so numbers are 138, 139, 140