Questions: Solve. When two is subtracted from half of a number the result is 28 . What is the original number?

Solution Steps

To find the original number, set up an equation where half of the number minus two equals 28. Solve for the number by isolating the variable.

Let the original number be \( x \). According to the problem, when two is subtracted from half of this number, the result is 28. This can be expressed mathematically as: \[ \frac{x}{2} - 2 = 28 \]

To isolate \( x \), first add 2 to both sides of the equation: \[ \frac{x}{2} = 28 + 2 \] \[ \frac{x}{2} = 30 \] Next, multiply both sides by 2 to solve for \( x \): \[ x = 30 \times 2 \] \[ x = 60 \]

Final Answer