Answer
$x=92,y=84$
Work Step by Step
As per the statement: $x-y=8$ and $\dfrac{x+y}{2}=88$
Plug $x=8+y$ in the second equation, then we get
$\dfrac{8+y+y}{2}=88 \implies 2y=168$
or, $y=84$
Now, $x-84=8 \implies x=92$
Thus, $x=92,y=84$