two factors of -48 have a difference of 19. the factor with a greater absolute value is positive. what is…
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
Answer
Explanation:
Step1: List factor - pairs of - 48
The factor - pairs of - 48 are: (1, - 48), (-1, 48), (2, - 24), (-2, 24), (3, - 16), (-3, 16), (4, - 12), (-4, 12), (6, - 8), (-6, 8).
Step2: Find the factor - pair with a difference of 19
Let the two factors be (x) and (y) such that (|x - y|=19) and (|x|>|y|) and (x>0). If (x - y = 19) and (xy=-48). From the factor - pairs, we find that when (x = 16) and (y=-3), (x - y=16-(-3)=19).
Step3: Calculate the sum of the factors
The sum of the factors (x + y) is (16+( - 3)=13).
Answer:
13