Math Problem Statement
When you double my number and subtract nine you get my original number. What is my number?
Solution
Let's break down the problem step by step:
- Let the unknown number be represented by .
- According to the problem, when you double the number and subtract 9, you get the original number:
- Now, solve for : Subtract from both sides: Simplifying this: Now, add 9 to both sides:
So, the number is .
Would you like any further explanation or have more questions about this?
Here are some related questions:
- How would you solve the equation if the number was tripled instead of doubled?
- What if instead of subtracting 9, you added 9?
- How would you represent this problem algebraically if you added a constant instead of subtracting 9?
- What happens if the number is a negative value?
- How can you check the solution to this problem by substituting the number back into the original statement?
Tip: When solving equations, always isolate the variable by performing inverse operations to maintain balance on both sides of the equation.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
2x - 9 = x
Theorems
Solving linear equations
Suitable Grade Level
Grades 6-8