Answer:
13
Step-by-step explanation:
Given number = -48
Listing out the possible factors of -48 in pairs along with their difference:
Factors ([tex]F_1\times F_2[/tex]) Difference ([tex]F1-F2[/tex]) Difference ([tex]F_2-F_1[/tex])
[tex]-2\times 24[/tex] -26 26
[tex]2\times -24[/tex] 26 -26
[tex]-3\times 16[/tex] -19 19
[tex]3\times -16[/tex] 19 -19
[tex]-4\times 12[/tex] -16 16
[tex]4\times -12[/tex] 16 -16
[tex]6\times -8[/tex] -14 14
[tex]12\times -4[/tex] 14 -14
On listing out the factors we find out that two of the pairs have difference = 19
The pairs are [tex]-3, 16[/tex] and [tex]3,-16[/tex]
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 [tex]-3, 16[/tex]
The sum of the factors is = [tex]-3+16=13[/tex] (Answer)
