SOLUTION: (a + b) / 2 is an integer,and b is even.Variable a MUST be: A) 0 B) 1 C) even D) odd E) a multiple of 3

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Question 252670: (a + b) / 2 is an integer,and b is even.Variable a MUST be:
A) 0 B) 1 C) even D) odd E) a multiple of 3
Answer by palanisamy(496) About Me  (Show Source):
You can put this solution on YOUR website!
Given, (a + b) / 2 is an integer
(a+b)/2 = n , an integer
a+b = 2n, an even integer
a = 2n-b
Given b is even variable.
Therefore a is the difference of two even numbers and so it is even.