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Half of time a number is decreased by the product of and the number
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Q. Half of time a number is decreased by the product of and the number
- Define Number: Let's call the number we're looking for ＂x＂. The problem says half of times a number, so we write that as .
- Translate Problem: It also says this is equal to decreased by the product of and the number, which is .
- Set Up Equation: Now we set up the equation: .
- Eliminate Fraction: To solve for , we first get rid of the fraction by multiplying both sides by : .
- Combine Like Terms: This simplifies to .
- Isolate Variable: Now, we add to both sides to get all the terms on one side: .
- Solve for x: This gives us .
- Final Result: Finally, we divide both sides by to solve for x: .
- Final Result: Finally, we divide both sides by to solve for x: .So, . That's our number.
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