If x and y are non-zero integers and |x| + |y| = 32, what is xy?
(1) -4x – 12y = 0
(2) |x| – |y| = 16
(1) -4x – 12y = 0
(2) |x| – |y| = 16
(1) -4x – 12y = 0canuckclint wrote:If x and y are non-zero integers and |x| + |y| = 32, what is xy?
(1) -4x – 12y = 0
(2) |x| – |y| = 16
-4x = 12y
x=-3y This tells us X and Y have different signs. ( -,+)
we can also say |x| = 3|y|
Using this and |x| + |y| = 32,
We can find that |x| = 24 an |y| = 8
we don't know which one is NEGATIVE and which one is positive but since we know that they have different signs...xy= - 192
Hence statement is SUFFICIENT
(2) |x| – |y| = 16
Using |x| + |y| = 32, we can find that |x| = 24 an |y| = 8
But we have no information given for their signs so xy can be either - 192 or +192
So this tricky statement is INSUFFICIENT
IMO the answer should be A
