Marys birthday is between June 13 and June 23. the date of her dirthday is not an even number. The sum of the digits is 3. When is Mary's birthday?

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June 21

June 15,2017

To find out Mary's birthday, let's consider the given clues:

1. Mary's birthday is between June 13 and June 23.
2. The date of her birthday is not an even number.
3. The sum of the digits is 3.

First, we need to find the possible dates within the given range (June 13 and June 23) that satisfy the condition of not being an even number:

June 13
June 15
June 17
June 19
June 21
June 23

Next, we need to determine which of these possible dates has a sum of digits equal to 3:

For each date, add up the digits to calculate the sum:

June 13: 1 + 3 = 4
June 15: 1 + 5 = 6
June 17: 1 + 7 = 8
June 19: 1 + 9 = 10
June 21: 2 + 1 = 3
June 23: 2 + 3 = 5

Out of these dates, only June 21 has a sum of digits equal to 3.

Therefore, Mary's birthday is on June 21.