Question

how do you solve the following sum:
1. find two integers whose sum is -12 and difference is -2.

Answer 1

(-7) + (-5) = -12
(-7) - (-5) = -2 ok

Answer 2

Let two integers be x and y.
According to question,
Sum of two integers, x + y = -12........(1)
Difference of two integers, x - y = -2.......(2)

Adding equation (1) and (2),
x + y = -12
x - y = -2
---------------
2x = -14
x = -7

Now put the value of x in equation (1),
-7 + y = -12
y = -12 + 7
y = -5


So the two integers are, -5 and -7.

hope it helps....