Question

The sum of two consecutive even integers divided by four is 189.5

Answer 1

STEP 1:
find first integer

sum= addition
x= first consecutive even integer
x+2= second consecutive even integer

(x + (x+2))/4= 189.5
multiply both sides by 4

x + (x + 2)= 758
combine like terms

2x + 2= 758
subtract 2 from both sides

2x= 756
divide both sides by 2

x= 378 first integer


STEP 2:
substitute first integer to find second

= x + 2
= 378 + 2
= 380 second integer


CHECK:
(378 + 380)/4= 189.5
758/4= 189.5
189.5= 189.5


ANSWER: The first consecutive even integer is 378 and the second consecutive even integer is 380.

Hope this helps! :)

Answer 2

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:

`(n+n+2)/(4) = 189.5\\ n+n+2 = 189.5(4)\\ 2n + 2 = 758\\ 2n = 756\\ n = 378`

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