The two factors of -48 that have a difference of 19 are 16 and -3.
[tex]16 \times -3 = -48\\\\16 - (-3) = 16 + 3= 19[/tex]
The sum of the factors are
[tex]16 + (-3) = 16 - 3 = \boxed{\bf{13}}[/tex]
The answer is: C. 13
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