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When a number is decreased by , the result is . What is the original number to the nearest tenth?Answer:
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Q. When a number is decreased by , the result is . What is the original number to the nearest tenth?Answer:
- Understand Relationship Equation: To find the original number, we need to understand that decreasing a number by means that the result is of the original number. We can represent this relationship with the equation:Original Number
- Convert Percentage to Decimal: First, we need to convert the percentage to a decimal to perform the calculation. To do this, we divide the percentage by :
- Set Up Equation with Decimal: Now we can set up the equation with the decimal:Original Number
- Solve for Original Number: To solve for the original number, we divide both sides of the equation by : Original Number =
- Perform Division: Performing the division gives us the original number:
- Round to Nearest Tenth: Rounding to the nearest tenth, we get:Original Number
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