Question

1. one number is 9 more than another number. the sum of the numbers is 25. what is one of the numbers?

9
8
16
20

Explanation:

Step1: Define variables

Let the smaller number be \( x \), then the larger number is \( x + 9 \).

Step2: Set up equation

The sum of the two numbers is 25, so \( x+(x + 9)=25 \).

Step3: Solve the equation

Simplify the left side: \( 2x+9 = 25 \).
Subtract 9 from both sides: \( 2x=25 - 9=16 \).
Divide both sides by 2: \( x=\frac{16}{2}=8 \).
The larger number is \( 8 + 9 = 17 \)? Wait, no, wait, maybe I made a mistake. Wait, let's check the options. Wait, the options are 9,8,16,20. Wait, maybe I set up the equation wrong. Wait, let's re - do it. Let the first number be \( x \), the second be \( x + 9 \). Then \( x+(x + 9)=25\Rightarrow2x=16\Rightarrow x = 8 \), and the other number is \( 8 + 9=17 \)? But 17 is not in the options. Wait, maybe I mixed up. Wait, maybe the first number is \( x \), the second is \( x-9 \). Then \( x+(x - 9)=25\Rightarrow2x=34\Rightarrow x = 17 \), and the other number is \( 17-9 = 8 \). Wait, the options have 8 and 16. Wait, maybe I made a mistake in the equation. Wait, let's check the sum of 8 and 17: 8 + 17 = 25, and 17-8 = 9. But 17 is not an option. Wait, the options are 9,8,16,20. Wait, maybe the problem is that one number is 9 more than the other, so if we take 8 and 17, but 17 is not there. Wait, maybe I miscalculated. Wait, let's check the sum of 8 and 17: 25. But 17 is not an option. Wait, maybe the numbers are 8 and 17, but 17 is not in the options. Wait, maybe the question is asking for one of the numbers, and 8 is one of them (the smaller one), and 17 is the larger one. But 17 is not in the options. Wait, maybe I made a mistake in the equation. Wait, let's check the sum of 8 and 17: 25, difference is 9. But 17 is not an option. Wait, the options are 9,8,16,20. Let's check 8 and 17: no. 16 and 7: 16 + 7 = 23, no. 20 and 11: 20+11 = 31, no. 9 and 16: 9+16 = 25, and 16 - 9 = 7, no. Wait, 8 and 17: sum 25, difference 9. But 17 is not in the options. Wait, maybe the problem has a typo, but according to the calculation, the smaller number is 8, which is an option.

Answer:

8 (and the other number is 17, but since 8 is in the options, 8 is one of the numbers)