The numbers are 37 and -18.
Step-by-step explanation:
Step 1:
Let the numbers be x and y. Given their sum = 19 and difference = 55. Form equations out of it.
⇒ x + y = 19 --------- (1)
⇒ x - y = 55 --------- (2)
Subtract eq(2) from eq(1)
⇒ 2x = 74
⇒ x = 37
Step 2:
Find y.
⇒ y = 19 - x = 19 - 37 = -18
