What two numbers multiply to get -168 and add to get 17?

Answer 1

-151

Answer 2

Since the multiple is negative, one of the numbers will be positive and one will be negative. Since they add to a positive, the positive number will have the greater magnitude.

Look at the factors of 168 = 1 x 2 x 2 x 2 x 3 x 7. Try out different combinations to see which two numbers have a difference of 17. After some trial and error, I came up with 24 - 7 = 17 [24 = 2 x 2 x 2 x 3], so the numbers are 24 and -7.