SOLUTION: I always have problems with these word problems: Find three consecutive even numbers so that the sum of the first and third numbers is 22 less than three times the second number. T

You can put this solution on YOUR website!
Well, first we need to assign letters to each of the numbers. x, y and z will do.
Now, if they are consecutive even numbers, then we know that x is 2 less than y, and y is 2 less than z:


We'll rearrange the second one to be consistent:

Now for the rest of the question. The first number plus the third number is 22 less than the second number multiplied by 3:

To work out the numbers, we will need to substitute the first 2 equations into the third, like this:

Expanding the brackets gives:

Adding 22 to both sides, and taking away 2y from both sides:

So the middle number is 22. Since the other numbers are the even numbers either side of it, the final answer is:
The 3 numbers are 20, 22 and 24.