Two consecutive even integers means that the numbers are two apart. Let's call the first even integer "n." The consecutive even integer would then be "n+2." Using these two expressions, create an equation that you can solve for the value of the integers:
(n + n + 2)/4 (sum of the integers divided by four) = 189.5
Now you can solve for the value of n:
[tex] \frac{n+n+2}{4} = 189.5\\
n+n+2 = 189.5(4)\\
2n + 2 = 758\\
2n = 756\\
n = 378[/tex]
Since n = your first even integer, that means your first even integer is 378 and your consecutive even integer is 380.
Answer: 378 and 380
