1. The problem states: If by decreasing $X$ by 10%, we get 180. We need to find the original value of $X$. 2. When a quantity is decreased by 10%, the new value is 90% of the original. This can be written as: $$\text{New value} = X \times (1 - 0.10) = X \times 0.90$$ 3. We know the new value is 180, so: $$180 = 0.90X$$ 4. To find $X$, divide both sides by 0.90: $$X = \frac{180}{0.90}$$ 5. Simplify the fraction: $$X = \frac{180}{\cancel{0.90}} \times \frac{\cancel{1}}{1} = 200$$ 6. Therefore, the original value of $X$ is 200. Final answer: $X = 200$