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1 subtracted from one third of a number ...

1 subtracted from one third of a number gives 1. Find the number.

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To solve the problem step by step, we will follow the logical sequence based on the information given in the question. ### Step-by-Step Solution: 1. **Understand the Problem Statement**: The problem states that 1 subtracted from one third of a number gives 1. We need to find that number. 2. **Let the Number be x**: We will denote the unknown number as \( x \). 3. **Express One Third of the Number**: One third of the number \( x \) can be expressed as \( \frac{x}{3} \). 4. **Set Up the Equation**: According to the problem, if we subtract 1 from one third of the number, we get 1. This can be written as: \[ \frac{x}{3} - 1 = 1 \] 5. **Isolate the Variable**: To solve for \( x \), we first need to isolate \( \frac{x}{3} \). We can do this by adding 1 to both sides of the equation: \[ \frac{x}{3} = 1 + 1 \] Simplifying the right side gives: \[ \frac{x}{3} = 2 \] 6. **Eliminate the Fraction**: To eliminate the fraction, we will multiply both sides of the equation by 3: \[ x = 2 \times 3 \] This simplifies to: \[ x = 6 \] 7. **Conclusion**: The number we are looking for is \( 6 \). ### Final Answer: The number is **6**.
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