In the figure $A E : E B = 1 : 2$ and $B D : D C = 5 : 3$ . Then what will be the value of $E G : G C$ ?

$5 : 9$
$1 : 3$
$3 : 5$
$2 : 3$

5 : 9

2 : 3

1 : 3

3 : 5

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