According to the given information, he delivered 8 more newspapers on Sunday. So, the number of newspapers he delivered on Sunday can be represented as "S + 8".
Given that the total number of newspapers delivered on Saturday and Sunday is 52, we can set up the following equation:
$$S + (S + 8) = 52$$
Simplifying the equation:
$$2S + 8 = 52$$
Subtracting 8 from both sides:
$$2S = 52 - 8$$
$$2S = 44$$
Dividing both sides by 2:
$$S = \frac{44}{2}$$
$$S = 22$$
Therefore, Dave delivered 22 newspapers on Saturday.
By substituting this value back into the expression "S + 8", we can find the number of newspapers he delivered on Sunday:
$$S + 8 = 22 + 8 = 30$$
Hence, Dave delivered 30 newspapers on Sunday.