So! What we have here is the following equation!
[tex] \frac{a+b}{4}=189.5 [/tex]
My suggestion to you is to "solve" for the sum of your two numbers (a+b). This will help a lot!
To solve for our sum (a+b) multiply both sides by 4. You get the following equation after you multiply 189.5 by 4 and cancel out the 4/4 on the left:
a+b = 758
Now our job is pretty simple from here. Simple divide 758 by 2.
[tex] \frac{758}{2} [/tex] = 379
If you remember from basic math division is the same as saying what "x" amount of numbers added together equal my number. Where "x" is the number you divide by. So what we have is two numbers which add to equal our number. We need the number to be two consecutive even numbers. Consecutive meaning back to back.
We currently are looking at this equation:
379 + 379 = 758
While it is correct, we need to change it a bit. Think about how we can make the numbers consecutive even numbers without changing what they add up to. Add and Subtract 1 from the problem.
379 + 1 + 379 - 1 = 758
378 + 380 = 758
So, our two numbers are 378 and 380. If you want you can check it with our original equation.
[tex] \frac{378+380}{4} [/tex] = 189.5
Turns out that the statement is true, so these two numbers work!
Once again the answers are:
378, and 380
