1. Different integers A, B, C, D consist of the same digits. A+B=C. B+C=D. What are the smallest numbers which satisfy this?

2. Can it also be solved if we add C+D=E?

3. What if instead we add A+D=E?

(In reply to re: computer solution - wondering by brianjn)

Now that I read it again, it looks like your interpretation is correct. I'll have to work on that.

Also, even with my previous interpretation I had mistakenly allowed only A < B. It affects the first answer, which should have been

13  9  22  31

but that's rather moot now.

Posted by Charlie on 2013-11-12 19:51:12