To find the day you were born, we need to calculate the total number of days between your sister's birth and yours.
1. Calculate the total
Sister to Brother: 75 weeks
Since weeks consist of exactly 7 days, any number of full weeks results in the same day of the week.
$75 \text{ weeks} \times 7 \text{ days} = 525 \text{ days}$.
Brother to You: 562 days
Total days from Sister to You: $525 + 562 = 1087 \text{ days}$.
2. Find the remainder (Odd days)
To find the day of the week, divide the total days by 7 and find the remainder:
$1087 \div 7 = 155$ weeks and 2 days remaining.
3. Determine the day
Your sister was born on a Tuesday.
Since you are younger, we move forward in time by the number of remaining days (2 days).
Tuesday + 2 days = Thursday.
Final Answer: You were born on a Thursday.