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?

The sum of the factors is 13.

Step-by-step explanation:

The factor with a greater absolute value is positive. If |a|>|b|, then the two factors of -48 are a and b, where a is positive and b must be negative.

           ... (1)

The difference of factors is 19.

        ... (2)

From (1) and (2), we get

If b=-16, then using equation (1) the value of a is 3. Here |b|>|a|, so this condition is not true.

If b=-3, then using equation (1) the value of a is 16. Here |a|>|b|, so this condition is true. Therefore the two factors of -48 are 16 and -3.

The sum of two factors of -48 is

Therefore the sum of the factors is 13.