Let the two consecutive integers be $x$ and $x + 1$.

The sum of these two integers is given as:

$x + (x + 1) = -103$

Now, simplify and solve for $x$:

$2x + 1 = -103$

Subtract 1 from both sides:

$2x = -104$

Now, divide both sides by 2:

$x = -52$

Thus, the two consecutive integers are $-52$ and $-51$.

Final Answer:

The two integers are $-52$ and $-51$.

Do you want further details or have any questions?

Here are 5 related questions:

1. What is the sum of two consecutive even numbers if their sum is 98?
2. How do you find the sum of three consecutive integers if their sum is 72?
3. If the sum of two consecutive odd integers is 100, what are the integers?
4. Can you find two consecutive multiples of 7 whose sum is 112?
5. How would you solve for two consecutive numbers whose product is 240?

Tip: Consecutive integers differ by 1, which makes them easy to express as $x$ and $x+1$ in algebraic problems.