$x^2-y^2$=16 and xy = 15 so find out x + y
$x^2-y^2 $ = 16
(x+y)(x-y) = 16
So 16 comes in following table
1 $\times$ 16, 2 $\times$ 8, 4 $\times$ 4
Using 2 x 8 equation
x+y=8 and
x-y=2
So x = 5 or 3 and y = 3 or 5
So answer is 8.
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