To determine which year has the same calendar as the year 2018, we need to analyze the relationship between the years based on whether they are leap years or common years. Here’s a step-by-step solution:
### Step 1: Identify if 2018 is a leap year or a common year.
- **2018** is not divisible by 4, so it is a **common year**.
### Step 2: Determine the day of the week for January 1, 2018.
- January 1, 2018, was a Monday.
### Step 3: Calculate the number of days in the years following 2018.
- A common year has 365 days, which is equivalent to 52 weeks and 1 extra day. Therefore, each common year shifts the starting day of the next year by 1 day.
- A leap year has 366 days, which is equivalent to 52 weeks and 2 extra days, shifting the starting day of the next year by 2 days.
### Step 4: List the years after 2018 and calculate their starting days.
- **2019**: Common year → January 1, 2019, is Tuesday (Monday + 1 day).
- **2020**: Leap year → January 1, 2020, is Wednesday (Tuesday + 2 days).
- **2021**: Common year → January 1, 2021, is Friday (Wednesday + 1 day).
- **2022**: Common year → January 1, 2022, is Saturday (Friday + 1 day).
- **2023**: Common year → January 1, 2023, is Sunday (Saturday + 1 day).
- **2024**: Leap year → January 1, 2024, is Monday (Sunday + 2 days).
- **2025**: Common year → January 1, 2025, is Tuesday (Monday + 1 day).
- **2026**: Common year → January 1, 2026, is Wednesday (Tuesday + 1 day).
- **2027**: Common year → January 1, 2027, is Thursday (Wednesday + 1 day).
- **2028**: Leap year → January 1, 2028, is Saturday (Thursday + 2 days).
- **2029**: Common year → January 1, 2029, is Sunday (Saturday + 1 day).
- **2030**: Common year → January 1, 2030, is Monday (Sunday + 1 day).
### Step 5: Identify the next years that start on the same day as 2018.
- Since 2018 started on a Monday, we need to find the next common years that also start on a Monday.
- The next common year that starts on a Monday after 2018 is **2029**.
### Conclusion:
The year that has the same calendar as 2018 is **2029**.
