So: n+y+ny=2008.

( 1+n)y=2008-n

y=(2008-n)/( 1+n)

y =(2008-n- 1+ 1)/( 1+n)

y=2009/( 1+n)- 1

To make y an integer, 2009/( 1+n) is an integer.

(decompose 2009 into prime factors) because 2009=7*7*4 1

So: 1+n=7 x=6, y=286.

1+n=4 1 X = 40 and Y = 48.

1+n=7*7=49 At this time, X = 48 and Y = 40.

1+n=7*4 1=287 x=286，y=6。

1+n=2009 At this time, x=2008, y=0 (not conforming to positive integer rounding).

To sum up: x=6, y=286.

x=40，y=48

x=48，y=40

x=286，y=6