The question is incomplete. It should ask what are the numbers when one of the numbers exceeds the other by a certain amount. Based on the reference provided, the completed question is: What are the two numbers if their sum is 25 and one of the numbers exceeds the other by 9?
The two numbers are 8 and 17.
Understanding the Problem
The problem involves finding two unknown numbers given two pieces of information:
- Their sum is 25.
- One number is 9 more than the other.
Solving the Problem
Let's denote the smaller number as 'x'. Then, the larger number is 'x + 9'. We can create an equation using the first piece of information, which states their sum is 25:
x + (x + 9) = 25
Now, we solve for x:
- Combine like terms: 2x + 9 = 25
- Subtract 9 from both sides: 2x = 16
- Divide by 2: x = 8
Now that we have the value of the smaller number (x = 8), we can find the larger number:
x + 9 = 8 + 9 = 17
Solution
Therefore, the two numbers are 8 and 17.
- Smaller Number: 8
- Larger Number: 17
Verification
We can check our answer:
- 8 + 17 = 25 (Sum is correct)
- 17 - 8 = 9 (Difference is correct)
Key Information from the Reference
The reference states: "Hence, the two numbers are 8 and 17. Q. The sum of two numbers is 25. One of the numbers exceeds the other by 9."
This confirms that our calculation is correct.
