Final answer:
The difference between twice a number and half that number is 30, which can be represented mathematically as 2x - (x/2) = 30. The number in question is found by solving for x, which results in x = 20.
Step-by-step explanation:
The question presents us with a mathematical problem where we are asked to find a number when given that the difference between twice the number and half of that number is 30. To solve this, let's define the number as x. Then, twice the number would be 2x and half the number would be x/2. The problem states that 2x - (x/2) = 30.
To find the value of x, we need to solve for x:
- First, we multiply through by 2 to eliminate the fraction: 2*(2x) - 2*(x/2) = 2*30, which simplifies to 4x - x = 60.
- Next, we combine like terms: 4x - x = 3x.
- Now, we have 3x = 60, and we divide both sides by 3 to solve for x: x = 60 / 3.
- Finally, we get x = 20.
Thus, the number in question is 20.