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? explain how you figure the problem

Bobpursley and I showed you how to do a similar problem.

http://www.jiskha.com/display.cgi?id=1251330905

What do you think?

To figure out Mary's birthday, we need to consider the given information. We know that her birthday falls between June 13 and June 23, so the possible dates are June 14, June 15, June 16, June 17, June 18, June 19, June 20, June 21, June 22, and June 23.

Additionally, we are told that the date of her birthday is not an even number. This means we can eliminate the dates June 14, June 16, June 18, June 20, and June 22 since these dates are all even numbers.

Now we need to focus on the second clue, which is that the sum of the digits is 3. We can go through the remaining dates and add up their digits. The sum of the digits for each remaining date is as follows:

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

From this calculation, we find that only June 21 has a sum of digits equal to 3. Therefore, Mary's birthday must be on June 21.

In summary, we used the given information to narrow down the possible dates and then calculated the sum of the digits for each remaining date to find the one that equals 3.