# Fun hw question I can't seem to get

rocketboy
Alright, this one has been bugging me for awhile now.

"In the following addition, each letter represents a different digit. Find the values of the letters."

.. S E N D periods are just there to push the "S E N D" over.
+ M O R E
---------
M O N E Y

Here's what I have so far:
1) M must = 1
2) Thus O must = 0, because S + M must generate a remainder, yet the numbers S and M can't add to more than 10 because M = 1, and even if there was a carried place value, it would add to 11 which can't be true because there can only be one 1 value.
3) Thus S = either 8 or 9; it can equal 8 if E + O generates a remainder, which it can only if E = 9. But since O = 0, N can't also be 0, so I decided that it can't generate a remainder, and thus S = 9. (Sorry for the ambiguous wording there.)
4)Since E can't = N, and since O = 0, the N + R has to produce a remainder so that the carried place value can be added to E (in the E + O = N column) to make the result of N different from E.

Somehow whenever I work it out, I always get R to equal 9, but it can't because that is what S is equal to. AAAAAAHHHH.

Am I on the right track??? I MUST have done something wrong.

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