Two numbers have a sum of 10 . if you add the first number to twice the second number, the result is 8. what are the numbers.

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Let's call the first number "x" and the second number "y". From the problem, we know two things:

We can use algebra to solve for x and y. Here's one way to do it:

Therefore, the two numbers are 12 and -2.

Note: It's always a good idea to check your answer to make sure it makes sense in the context of the problem. In this case, we can see that 12 + (-2) does indeed equal 10, and that 12 + 2(-2) equals 8. So we can be confident that our solution is correct.