1. **State the problem:** We need to find a number such that when it is doubled and then decreased by 9, the result is 19.
2. **Set up the equation:** Let the number be $x$. Doubling the number gives $2x$. Decreasing this by 9 gives $2x - 9$. According to the problem, this equals 19.
3. **Write the equation:**
$$2x - 9 = 19$$
4. **Solve for $x$:**
Add 9 to both sides:
$$2x - 9 + 9 = 19 + 9$$
$$2x = 28$$
Divide both sides by 2:
$$x = \frac{28}{2} = 14$$
5. **Interpret the result:** The number is 14.
6. **Check the answer:** Double 14 is 28, and 28 minus 9 is 19, which matches the problem statement.
**Final answer:** 14
Find Number 5Caf4A
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.