Explanation

Given that two numbers are in the ratio of 6:7 and their sum is -52, we can determine the numbers as follows:

 let the two numbers be 6x and 7x.

The sum of these numbers should be -52:

6x + 7x = -52

13x = -52

Solving for x:

x = -52/13

x = -4

Therefore, the two numbers are 6x and 7x:

6 (-4) = -24

7 (-4) = -28

The numbers in the ratio 6:-7 that sum up to -52 are -24 and -28.