Answer
$x=6,y=2$
Work Step by Step
As per the statement: $x+y=16/2$ and $x-y=16/4$
After adding the given two equations, we get
$2x=8+4 \implies 2x=12$
or, $x=6$
Now, $6+y=16/2 \implies y=2$
Thus, $x=6,y=2$
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