For an arithmetic sequence $(a_{n})$ with common difference $r$
$$\begin{aligned} & a_{30} - a_{25} < 53 \\ & a_{25} - a_{8} > 53 \end{aligned}$$
the inequalities are given.
What is the sum of the integer values that $r$ can take?
A) 49 B) 56 C) 64 D) 72 E) 84
For an arithmetic sequence $(a_{n})$ with common difference $r$

$$\begin{aligned}
& a_{30} - a_{25} < 53 \\
& a_{25} - a_{8} > 53
\end{aligned}$$

the inequalities are given.

What is the sum of the integer values that $r$ can take?

A) 49
B) 56
C) 64
D) 72
E) 84