Find all of the solutions for this addition problem. Each different letter in the puzzle stands for a different digit. Letters that are the same stand for the same digit. Remember to include all of the criteria from the guidelines.

ONE + ONE = TWO

This doesn't make sense. I need further explanation please and thank you.

That's the issue I am having

To find all the solutions for the addition problem, we will apply a systematic approach that involves solving it step by step by considering all possible combinations.

Let's analyze the given puzzle:

O N E
+ O N E
_____________
T W O

Since we have three different letters (O, N, E) that represent different digits, we need to assign a digit to each letter in a way that satisfies the equation.

Starting with the rightmost column, we add the digits together: E + E = O. This means that the sum should be even. In this case, the only even digit that can be assigned to O is 2.

Now, let's proceed to the next column, where we have the letter N. We know that the sum of two E's is O, so there can't be any carrying in this column. Therefore, N can only be assigned the digit 1.

Moving on to the leftmost column, which contains letter O, we see that N + N + 1 = E. Since N is 1, we can substitute it into the equation: 1 + 1 + 1 = E. That gives us E = 3.

Finally, we have determined the values for O, N, and E: O = 2, N = 1, and E = 3.

Let's substitute these values into the original equation:

2 1 3
+ 2 1 3
_____________
4 2 6

The sum is 426.

Therefore, the solution for the addition problem ONE + ONE = TWO is O = 2, N = 1, and E = 3. And the sum is 426.

In this case, there is only one solution that satisfies all the criteria.