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
