Introduction

In order to determine when your birthday is, we need to analyze the given information and do some calculations. Let's break it down step by step.

Step 1: Analyzing the information

We are given that two days ago, you were 11 years old. This means that at present, you are 13 years old. We are also given that next year, you will be 14 years old.

Step 2: Calculating the current year

To find your current age, we need to subtract your age two days ago from your present age. Since you were 11 years old two days ago and are currently 13 years old, we can calculate the current year.

Let's assume the current year is "X."

Age two days ago: 11 years old
Present age: 13 years old

So, the equation becomes:
X - 11 = 13

By solving this equation, we find that the current year is X = 24.

Step 3: Determining your birth year

Now that we know the current year is 24, we can calculate your birth year by subtracting your current age from the current year.

Present age: 13 years old
Current year: 24

So, the equation becomes:
24 - 13 = X

By solving this equation, we find that your birth year is X = 11.

Step 4: Calculating your birthday

To determine your birthday, we need to add your birth year to the current year.

Birth year: 11
Current year: 24

So, the equation becomes:
11 + 24 = X

By solving this equation, we find that your birthday is in the year X = 35.

Conclusion

Based on the given information, your birthday will be in the year 35. However, since the current year is not mentioned, we cannot determine the exact date of your birthday. It is important to note that the calculations assume a consistent pattern of age progression and do not account for leap years or any other factors that may affect the accuracy of the calculation.