SOLUTION: Identify two integers that have a sum of +16 and differences of −8 and +8.

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Question 1155079: Identify two integers that have a sum of +16 and differences of −8 and +8.
Answer by MathLover1(20849) About Me  (Show Source):
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let two integers be x and y
if their sum is 16, we have
x%2By=16.........solve for x
x=16-y......eq.1

and if their difference is -8, we have
x-y=-8
x=y-8......eq.2

and if their differences is 8, we have
x-y=8
x=8%2By......eq.3

from eq.1 and eq.2 we have
16-y=y-8
16%2B8=y%2By
24=2y
y=12
from eq.1 and eq.3 we have
16-y=y%2B8
16-8=y%2By
8=2y
y=4
go to
x=16-y......eq.1, plug in y=12
x=16-12
x=4

go to
x=16-y......eq.1, plug in y=4
x=16-4
x=12

solutions:
x=4,y=12
or
x=12,y=4

so, two integers are: 4 and 12