Write a pair of integers whose sum gives an integer smaller than only one of the integers.

Let's break down the problem step by step.

We need to find a pair of integers whose sum is smaller than only one of the integers. In other words, for a pair of integers (a, b), we need the sum of a and b, i.e., (a + b), to be less than one of the integers, either a or b, but not both.

Let’s consider the following example:

Take a = 1 and b = -2.

Now, calculate the sum: a + b = 1 + (-2) = -1.

Here, the sum is -1. Now, compare the sum with each integer:

The sum (-1) is smaller than a (which is 1).
The sum (-1) is also smaller than b (which is -2).
However, in this case, the sum is smaller than both integers, which doesn't quite satisfy the condition in the problem.

Let’s try a different pair:

Take a = 3 and b = -5.

Now, calculate the sum: a + b = 3 + (-5) = -2.

Now, compare the sum with each integer:

The sum (-2) is smaller than a (which is 3).
The sum (-2) is greater than b (which is -5).
Here, the sum is smaller than only one of the integers (a = 3) but is greater than the other integer (b = -5). This satisfies the condition in the problem.

Thus, the pair of integers that meets the condition is (3, -5).