The question in your image states:

"One number exceeds another by 1. The sum of the numbers is 21. What are the numbers?"

Let's solve:

1. Let the smaller number be x.

2. Since one number exceeds the other by 1, the larger number is x + 1.

3. Their sum is given as 21, so we set up the equation: $x + (x + 1) = 21$

4. Simplify the equation: $2x + 1 = 21$

5. Subtract 1 from both sides: $2x = 20$

6. Divide both sides by 2: $x = 10$

7. The smaller number is 10, and the larger number is: $x + 1 = 10 + 1 = 11$

Final Answer:

The numbers are 10, 11.

Would you like me to explain any steps further or assist with another question?

Related Questions:

1. What if the sum of the numbers was 25 instead of 21?
2. How do you solve similar problems involving three numbers instead of two?
3. What happens if the difference between the numbers is given as 2 instead of 1?
4. Can you show how to solve this using a graph of the equation?
5. How do you verify that your solution is correct?

Tip:

Always double-check your work by plugging the solution back into the original problem!