Math Problem Statement
Solution
The problem in the image can be translated into two equations. Here's how to set it up:
Let:
- be the smaller number.
- be the larger number (since one number is 3 times as large as the other).
The sum of the two numbers is 52:
Now, solve for :
Thus:
- The smaller number is .
- The larger number is .
The numbers are 13 and 39.
Would you like more details or have any questions?
Here are 5 related questions to consider:
- How do you form equations based on word problems?
- What happens if the relationship between the numbers is different (e.g., one number is twice as large)?
- How would the equation change if the sum of the numbers was different?
- Can you create a similar problem but with different relationships between the numbers?
- How do you verify the solution in such problems?
Tip: Always check your solutions by substituting the values back into the original problem to ensure they satisfy all conditions.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
x + 3x = 52
Theorems
Basic equation solving in algebra
Suitable Grade Level
Grades 6-8
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