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

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Answer 1 · 2016-04-27T16:57:16

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

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

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

$4 x + 6 = 74$ $4x + 6 = 74$

$4 x = 74 - 6$ $4x = 74 - 6$

$4 x = 68$ $4x = 68$

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

$x = 17$ $x = 17$

The integers are as follows: