The sum of two numbers is -53 and the difference between the numbers is -5

please answer in detailed and organized steps

Numbers are -29 and -24.

Step-by-step explanation:

Step 1:

Given the sum of 2 numbers is -53 and their difference is -5. Let the numbers be x and y.

Step 2:

Form equations based on the given data.

⇒ x + y = -53 (1)

⇒ x - y = -5 (2)

Subtract (2) from (1) ⇒ 2x = - 58 ⇒ x = -29

Step 3:

Find the value of y.

⇒ y = -53 -x = -53 + 29 = -24