# The sum of four consecutive integers is 74. What is the first integer?

Apr 27, 2016

The integers are :
$17 , 18 , 19$ and $20$.

#### Explanation:

Let us denote the four consecutive integers as:
$x , \left(x + 1\right) , \left(x + 2\right)$ and $\left(x + 3\right)$

As per the data provided:
$x + x + 1 + x + 2 + x + 3 = 74$

$4 x + 6 = 74$

$4 x = 74 - 6$

$4 x = 68$

$x = \frac{68}{4}$

$x = 17$

The integers are as follows:

• x = color(blue)(17
• x+1 = color(blue)(18
• x+2 = color(blue)(19
• x+3 = color(blue)(20