mary's birthday is between june 13 and june 23. the date of her birthday is not an even number. the sum of the digits is 3. when is mary's birthday?
Her birthday must be June
15, 17, 19, or 21
Which one has digits that add up to 3?
june 21
To determine Mary's birthday, we need to consider the given information:
1. Mary's birthday falls between June 13 and June 23.
2. The date of her birthday is not an even number.
3. The sum of the digits of her birthday is 3.
Let's break down each condition and eliminate possibilities:
1. Mary's birthday falls between June 13 and June 23.
Since we know her birthday falls within this range, we need to check for possible dates.
2. The date of her birthday is not an even number.
In the given range, the even dates are June 14, 16, 18, 20, 22. Therefore, we can eliminate these dates.
3. The sum of the digits of her birthday is 3.
We need to find a date where the sum of the digits is 3.
Let's list the remaining possibilities within the given range:
- June 13: The sum of the digits (1 + 3) is 4, so we can eliminate this option.
- June 15: The sum of the digits (1 + 5) is 6, so we can eliminate this option.
- June 17: The sum of the digits (1 + 7) is 8, so we can eliminate this option.
- June 19: The sum of the digits (1 + 9) is 10, so we can eliminate this option.
- June 21: The sum of the digits (2 + 1) is 3.
Based on the given information, the only date that satisfies all the conditions is June 21. Therefore, Mary's birthday is on June 21.