Question

Four boxes are shown below. The numbers within each box have a specific relationship. What number would replace the question mark?

Hint:

When analyzing number patterns in boxes, consider simple arithmetic relationships such as addition or subtraction to find the missing numbers.

Answer 1

Step 1: Analyzing the pattern.
We need to find the relationship between the numbers within each box. Let's look at each box: 
- Box 1: \( 3 + 6 = 9 \), and the bottom left number is \( 6 \), which could represent the difference between the two top numbers. 
- Box 2: \( 1 + 6 = 7 \), and the bottom left number is \( 8 \), which seems to follow the same difference logic: \( 8 - 7 = 1 \). 
- Box 3: \( 4 + 2 = 6 \), and the bottom left number is \( 7 \). Similarly, the difference is \( 7 - 6 = 1 \). 
Step 2: Applying the pattern to Box 4. 
In Box 4, \( 3 + 9 = 12 \), and the missing number must follow the same pattern. The difference between the sum \( 12 \) and the existing number \( 9 \) is \( 12 - 9 = 3 \). Therefore, the missing number is \( 7 \). 
\[ \boxed{7} \]