Answer:
the two numbers are 12 and -29
Step-by-step explanation:
let the two numbers be x and y
let the sum of the two numbers b
x+y = -17 ..................................................... equation 1
let the difference between the two numbers be
x-y = 41 ........................................................................ equation 2
from equation 1
x+y = -17 ..................................................... equation 1
x = -17 - y ............................................................... equation 3
substitute for x in equation 2
x-y = 41 ........................................................................ equation 2
-17-y -y = 41
-17 -2y = 41
-2y = 41 + 17
-2y = 58
divide both sides by -2
-2y/-2 = 58/-2
y = -29
put the value of y = -29 in equation 3
x = -17 - y ............................................................... equation 3
x = -17-(-29)
x =-17 + 29
x = 12
therefore the two numbers are 12 and -29
