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Riddle Contest

I am doing a riddle contest online... again. This is bad, because I'll get stuck on a riddle and it will occupy my mind, nonstop, until I solve it. It drives me nuts. I finally had to quit, the last time I did this, because the obsession was overwhelming. And the riddles were getting too hard. Nonetheless, I find myself shamed to be stuck already, on the 5th riddle of round 1.

C2R1Rid5

Click to see riddle... any suggestions?

Comments

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jodi! curse you. you know how much i love puzzles. i have to be in meetings most of the afternoon and i have to get some stuff done before i can leave (since i'm doing my best to stop taking work home). this is not helping. at first glance, all i can see is that A+E = 10

oh - and C+N = 10, too. not very helpful. sorry.

dag nabbit. i stoppedl ooking a the puzzle, but i can't sotp tihnking about it! i just realized that the two comments i posted before are incorrect because i forgot to tihnk about the fact that you can carry numbers. blah.

Nope, you are not going to suck me into this world....nope, nope, nope. But good luck with it :)

588947150164
137585710504
+132484324374
-------------
859017185042

So,
T = 0
I = 1
D = 2
N = 3
E = 4
A = 5
V = 6
C = 7
P = 8
R = 9


Wow Lewis, that's impressive, is there a system for working it out or is it iterative?

Lewis is correct! and since he is, I've been able to move on several riddles and am now stuck again.