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Question
ABC+ACB=CBA
Each letter is a different digit
ABC
ACB
----
CBA
----
Looking at the first digits, A+A (+any carryovers here) = C.
So, C>A
Looking at the last digits, C+B = A or 10 +A if there is a carryover.
( Since there are only 2 digits being added, it can't be more than 20..)
If C>A, then C+B can't be equal to A.
So, C+B = 10+A
Looking at the middle digits, B+C(+1) = B or 10 +B
Clearly, it must be B+C(+1) = 10 +B
which means C = 9
( it is possible to figure out C = 9 from the middle digits only,see how)
No, it is obvious what the others are, right?
I leave that to you.
Sorry for the delay.
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Surajit Basu
Expertise
I can answer questions which are mathematical, logical, or wordplay related. I am not good at highly creative problems, or riddles.
Experience
I regularly do puzzles, and help out friends, teenagers. I read books written by Martin Gardener. I love the puzzles and Easter eggs in Douglas Hofstadter's Godel, Escher, Bach: an enternal golden braid.
Publications
A few examples of my writing:
http://surajitbasu.sulekha.com/blog/post/2006/04/the-journey-down-the-number-line.htm
Education/Credentials
B. Tech. ( Computer Science), IIT Kanpur, India
MBA ( Post-Graduate Diploma in Business Management), (Finance, Systems), IIM Calcutta, India
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