The problem in the image asks to find two consecutive integers whose sum is 103.

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

The sum of these two integers is given by the equation:

$x + (x + 1) = 103$

Now, let's solve for $x$:

$2x + 1 = 103$

Subtract 1 from both sides:

$2x = 102$

Divide both sides by 2:

$x = 51$

So, the first integer is $51$, and the second integer is $51 + 1 = 52$.

Thus, the two consecutive integers are 51 and 52.

Would you like more details, or do you have any questions?

Related Questions:

1. How do you solve for three consecutive integers if their sum is given?
2. How can you generalize this for any two consecutive integers with a given sum?
3. What happens if the sum of the two integers is an odd number?
4. Can you find consecutive even or odd integers that sum to a particular number?
5. How do consecutive negative integers behave with sum problems?

Tip: Always verify your solutions by plugging the values back into the original equation to ensure correctness.