One of two numbers is two-thirds the other number. the sum of the numbers is 45. find the numbers

So if 1 = 3/3, let's make our variable 1/3. Our formula will look like this:

2x+3x=45

So altogether we have 5x, and 45:5 = 9, so x = 9. Now we just plug 9 back in to find the two numbers the question is asking for. In this case, 2x = 18 and 3x = 27. To check our answer, we'll add 18 and 27, which equals 45! That means our answer is correct!