If a and b are positive integers such that a < b, is b ev

Hello,

This is from MGMAT:

If a and b are positive integers such that a < b, is b even?

(1) b/2 - a/2 is an integer.

(2) 3b/4 - a/2 is an integer.


OA: B


I was trying to solve this as follows:

1) b/2 - a/2 = integer
(b - a)/2 = integer
b - a = even integer

So, b = a = odd
or b = a = even

Insuff.


2) 3b/4 - a/2 = integer
3b/4 - 2a/4 = integer
3b - 2a = even integer
3b - even integer = even integer

However, I was stuck after this point since 3b is odd.

Can you please assist? Thanks a lot

Sorry: Posted it in wrong section. Moved it to DS