**Pair of Positive Integers Whose Sum is -34**

In mathematics, a positive integer is a whole number greater than zero. We are tasked with finding a pair of positive integers whose sum equals -34. At first glance, this may seem impossible since positive integers are always greater than zero. However, by considering the concept of additive inverses, we can arrive at a solution.

**Additive Inverses**

Every positive integer has an additive inverse, which is a number that, when added to the positive integer, results in zero. For example, the additive inverse of 5 is -5, since 5 + (-5) = 0. Similarly, the additive inverse of -5 is 5.

**Finding the Pair of Positive Integers**

To find a pair of positive integers whose sum is -34, we need to consider their additive inverses. Let's assume the two positive integers we are looking for are x and y. We can express their additive inverses as -x and -y.

According to the problem, the sum of these two integers is -34. So, we can write the equation as:

-x + (-y) = -34

Now, we can simplify the equation by removing the negative signs:

x + y = 34

We can observe that this equation is similar to the sum of two positive integers. By solving this equation, we will find the values of x and y.

**Solving the Equation**

There are multiple pairs of positive integers that satisfy this equation. For example, let's consider one possible pair: x = 17 and y = 17. Substituting these values into the equation:

17 + 17 = 34

Therefore, the sum of the two positive integers 17 and 17 is 34. However, this pair does not satisfy the original condition of having a sum of -34.

To find a pair of positive integers whose sum is -34, we need to consider the additive inverses of x and y. By taking the additive inverses of the previous values, we can obtain a valid pair:

-x = -17
-y = -17

Thus, x = 17 and y = 17 will give us a pair of positive integers whose sum is -34 when considering their additive inverses.

Note: It is important to remember that when we are working with negative sums, we need to consider the concept of additive inverses to find the appropriate positive integers that satisfy the given condition.

No since positive when added result in a positive integer itself. For example (+1)+(+1)+1+1= +2