Number of persons who read only English newspaper = \(55x - x = 45x\)
Number of persons who read only Malayalam newspaper = \(60x - x = 55x\)
Number of persons who read neither newspaper = \(3000 - 55x - 55x - 25x = 3000 - 135x\)
Since the total number of literate persons in the village is 3000, we have:
$$45x + 55x + 25x + x = 3000$$
$$ \Rightarrow 125x= 3000$$
$$ \Rightarrow x= 3000/125$$
$$ \Rightarrow x= 24$$
Therefore, the number of persons who read both English and Malayalam newspapers is \(24\).