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Taking the 5th (Posted on 2009-05-03) Difficulty: 2 of 5
A5 + B5 + C5 + D5 + E5 = ABCDE

where each separate letter represents a different digit and A is not zero.

What is ABCDE?

See The Solution Submitted by Charlie    
Rating: 1.0000 (1 votes)

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Some Thoughts Different signs | Comment 3 of 5 |

Take  

   A > B > C > D > E  

and suppose that each of A,B,C,D,E have the same sign. (We can take this as positive, since -A,-B,-C,-D,-E would be equally a valid solution).

then A<sup>5</sup> >  ABCDE so that the left side is greater than the right side. This is impossible, so that some of the elements must be negative.

More to come if I have time & ideas.

 


  Posted by FrankM on 2009-05-03 19:17:23
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