Math Problem Statement
Solution
To determine the missing number in the given pattern, let's analyze the relationships between the numbers in each diagram.
Observations:
Each diagram has four numbers arranged as follows:
- Top number, bottom number, left number, and right number.
We need to identify the rule connecting these numbers.
Analyzing the First Diagram:
For the first diagram:
- Top number = 2
- Bottom number = 6
- Left number = 8
- Right number = 4
Notice the pattern:
- ✔
Analyzing the Second Diagram:
For the second diagram:
- Top number = 3
- Bottom number = 5
- Left number = 7
- Right number = 8
Verify the same rule:
- ✔
Analyzing the Third Diagram:
For the third diagram:
- Top number = 9
- Bottom number = 2
- Left number = 6
- Right number = 12
Verify the same rule:
- ✔
Solving for the Fourth Diagram:
For the fourth diagram:
- Top number = 4
- Bottom number = 3
- Left number = 2
- Right number = ?
We need to find the missing number such that: Substitute known values: Simplify: Solve for :
Final Answer:
The missing number is 10.
Answer: a) 10
Would you like me to explain this in more detail or go over additional examples?
Related Questions:
- What is another mathematical approach to verify this pattern?
- Can the same rule apply with subtraction or division?
- How do you determine patterns when the rule is not obvious?
- How can this method be used for more complex number puzzles?
- Are there other patterns where multiplication equals a sum?
Tip:
When solving number puzzles, test multiple arithmetic operations (addition, subtraction, multiplication, and division) to uncover hidden patterns quickly.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Basic Arithmetic
Patterns and Relationships
Formulas
Top Number × Bottom Number = Left Number + Right Number
Theorems
-
Suitable Grade Level
Grades 5-7