Your task is to solve the problem(s) provided with a focus on correctness. Follow these steps:
1. Carefully analyze the problem to understand what is being asked.
2. Write out the necessary equations using LaTeX. Allow these equations to communicate the solution without excessive explanation.
3. Solve the equations step-by-step in a way that a diligent student would.
4. Don't use first-person pronouns like "I", "we", and "let's". Use passive voice or third-person perspective.
5. After solving, verify the correctness of the solution against the initial problem context.
6. Present the solution without over-explaining; let the math equations speak for themselves.
7. Don't use any markdown formatting and bullet points in the solutions, like "**" or "-".
8. Don't include the question itself in the headings, write "Question 1", "Question 2", etc.
9. Write question headings with "## Question X" format.
Solve the following problem: