First in SEND + MORE = MONEY I looked at S, M, and O first. 2 one digit numbers = a 2 digit number. If add 2 one digit numbers together and they equal a 2 digit number the tens place digit has to be 1 which is what M is. And 1 + something has to be a 2 digit number and the only number that can be added to one to make a 2 digit number is 9 which is S. Lastly 9 + 1 = 10 and so 0 must be O which looks similar and is a funny coincidence XD.
So now we have 9END + 10RE = 10NEY. Next I saw that E plus Zero equals N which is odd because you said letter represent DIFFERENT digits so there was only one solution: there was some regrouping. I started with some trial and error but to skip some of that I will put in five. N + R somehow had to equal five so I started with more trial and error and found that N had to be 6 because in the ones place there was more grouping to be done. 6 + R had to equal 14 because in the ones place there would be regrouping and that would add a one to so it would be 15. Which is what it is supposed to turn into so E can = 5, N would equal 6 and everything can work out nicely. Lastly we have the ones digits D + 5(E) = Y this has to be a 2 digit number and these are the only number options: 2, 3, 4, and 7. We need to have seven for the whole regrouping thing and 7 + 5 = 12 and 2 is Y
To sum all up. 9567
Are the numbers. Now I have to go to a block party.
Q.E.D. Nice work, Timothy.
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