Question

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

Answer 1

Answer: The two consecutive even numbers are 378 and 380.

Explanation: to solve this problem we need to write an equation with only one unknown variable. To do that we know that when we have an even number, let's call it "x", to express the even number that follows we can write "x+2" because if we add two, to an even number, the result will be the next even number. So the sum of two consecutive even integers can be written as: x+(x+2), if we divide that by four, and make it equal to 189.5, we will have our equation and we can solve it as follows:

$\frac{x+(x+2)}{4} =189.5$

x+(x+2)=189.5*4

2x+2=758

2x=758-2

2x=756

x=378

378 is our first number, to find the next one, we just add two.

378+2=380

Answer 2

The two consecutive even integers are 378 and 380.