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?
I looked at integer representations of multiples of 1/7 since I recalled the digits repeated and it was easy to find A=142857, B=285714, C=428571, D=714285.
The method doesn't extend to 2. I haven't looked at 3.
Edited on November 14, 2013, 11:07 pm
Posted by xdog
on 2013-11-14 23:06:01