# The sum of two consecutive even integers is 234. What is the larger integer?

May 19, 2018

$x = 118$

#### Explanation:

We have got the system :
$x + y = 234$[1]
$x - y = 2$[2]
If we consider $x$ as the larger one, and that this is sum of two consecutive even integer number.
So : [1]+[2]:
$2 x = 236$[1]
$x - y = 2$[2]
$x = 118$[1]
$y = 116$[2]
So the larger number is 118, \0/ here's our answer!