Question

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 1

13

Explanation:

it's C on edg

Answer 2

13

Explanation:

Given number = -48

Listing out the possible factors of -48 in pairs along with their difference:

Factors (
`F_1* F_2`) Difference (
`F1-F2`) Difference (
`F_2-F_1`)

`-2* 24` -26 26

`2* -24` 26 -26

`-3* 16` -19 19

`3* -16` 19 -19

`-4* 12` -16 16

`4* -12` 16 -16

`6* -8` -14 14

`12* -4` 14 -14

On listing out the factors we find out that two of the pairs have difference = 19

The pairs are
`-3, 16` and
`3,-16`

It is given that the factor with greater absolute value is positive. This means 16 would be positive while 3 would be negative.

So, our factors are
`-3, 16`

The sum of the factors is =
`-3+16=13` (Answer)