SOLUTION: If j and k are integers and j+k = 2j +4, which of the following must be true ? I. j is even II. k is even III. k � j is even (A) None (B) I only (C) II only (D

Question 253007: If j and k are integers and j+k = 2j +4, which of the following must be true ?
I. j is even
II. k is even
III. k � j is even
(A) None (B) I only (C) II only (D) III only (E) I, II, and III
Found 2 solutions by richwmiller, hokies:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
k+j=2j+4
subtract j
k=j+4
subtract j
k-j=4
k-j is even
only choices are D and E since III is true.
but we know nothing about j and k individually.
We do know that 2j+4 is even.
D)III only

Answer by hokies(65) (Show Source): You can put this solution on YOUR website!
D. III only
The sum (j+k) is even since 2*(any number)+4 must be even. Therefore their difference must be even too. j and k could both be odd.
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