# 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:

• Union Public Service Commission - www.upsc.gov.in
• IIT-Kharagpur - www.iitkgp.ac.in
• Indian Statistical Institute - www.isical.ac.in
• Indian Institute of Technology Madras - www.iitm.ac.in
• Indian Institute of Management, Ahmedabad - www.iimahd.ernet.in
• Indian Institute of Mass Commission - www.iimc.nic.in
• IIT Bombay - www.iitb.ac.in