Let $A$, $B$, $V$ and $G$ be the numbers of post stamps that Andrej, Bojan, Vasko and Goce have correspondingly. According to the first condition of the problem we obtain $A = B + V$, $A = 5G$, $B = 4V$. Then we have that $A = B + V = 4V + V = 5V$. But $A = 5G$ so we get that $V = G$. Then according to the second condition of the problem we obtain $A + B + V + G = 5016$, $5V + 4V + V + V = 5016$. Hence $11V = 5016$, $V = 456$. Now we get that $G = 456$, $A = 5 \cdot 456 = 2280$ and $B = 4 \cdot 456 = 1824$. So Andrej has 2280 post stamps, Bojan has 1824 and Vasko and Goce have 456 post stamps each.