Two factors of -48 have a difference of 19. The factor with a greater absolute value is positive. What is the sum of the factors?
-19, -13, 13, 16

Solution:

The factors of 48 are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48

Two factors of - 48 are -16, 3 or -3, 16.

Their difference is

3 - (-16) = 19 or 16 - (-3) = 19

Case 1 - If the two factors are - 16 and 3

Sum of the factors = -16 + 3 = -13

Consider the absolute sum |-13| = 13

Case 2 - If the two factors are 16 and -3

Sum of the factors = 16 - 3 = 13

Consider the absolute sum |13| = 13

Therefore, the sum of the factors is 13.

Two factors of -48 have a difference of 19. The factor with a greater absolute value is positive. What is the sum of the factors?
-19, -13, 13, 16

Summary:

Two factors of -48 have a difference of 19. The factor with a greater absolute value is positive. The sum of the factors is 13.