Rare Coins

Any numismatist will tell you that rare coins are invaluable. So, RARE + COIN should be equal to INVALUABLE. However, my friend has given me this problem to solve, according to which RARE + COIN = TEPID. Now, whatever does that mean?

Anyway, this has nothing to do with linguistic skills but is an alphametic poser. Each alphabet stands for a unique number from 0 to 9. The sum works out to be true when the alphabets are replaced by their corresponding numbers. The four-digit numbers, whose sum has to be found, cannot start with zero. Thus, "R", "C" and "T" cannot be zero.

To start with, I will tell you what "A" stands for. A = 6. Now, you have to find the other numbers so that the sum is true.

Here is the alphametic once again:


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