Question

Write the pair of integers whose sum is zero but difference is 12. 

Answer 1

Let the two nombers be a,b such that a>b.
So,
a+b=0...............................................(1)
a-b=12...................................(2)

Add (1) and (2)

a+a+b-b=12
so
2a=12
thus,
a=6

Now putting a=6 in equation 1

b=-6
that is ur ans

Answer 2

Let the two integers be x and y

x+y = 0 ----(1)

x-y = 12 -----(2)

(1) + (2)

x+y = 0
x-y = 12
______
2x = 12

x = 6

x+y = 0

6+y = 0

y = -6

Therefore,the pair of integers is (6,-6)

Hope it helps