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Consecutive Additions (Posted on 2013-11-12) Difficulty: 3 of 5
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?

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
solution to part 1. | Comment 4 of 6 |
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

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