Answer
Yes the reaction is balanced.
$2Ag_{2}O_{(s)} + C_{(s)} --> CO_{2}._{(g)} + 4Ag_{(s)}$
Work Step by Step
$2Ag_{2}O_{(s)} + C_{(s)} --> CO_{2}._{(g)} + 4Ag_{(s)}$
Since all of the atoms on the reactants side (on the left side of the arrow) are equal to the atoms on the products (the right side of the arrow), the reaction is balanced.
