Question 307510
2p+r-1=2r+p+1 can be simplified by subtracting p and r from each side.

2p+r-1-p-r=2r+p+1-p-r
p-1=r+1


Now, add +1 to each side:
p=r+2


This means that p and r are NOT consecutive integers.  It does indicated that if r is even, then p is also even.  If r is odd, then p is also odd.  The numbers are either BOTH even or BOTH odd.  However, you can't say that p is necessarily even or odd, and you can't say that r is necessarily even or odd.  


The correct answer is A) NONE.


Dr. Robert J. Rapalje, Retired