Nancy's birthday is between August 10 and August 24. The date of her birthday is not an even number. The sum of the digits is 4. Show how to find the date of Nancy's birthday.
13
Possible dates:
11, 13, 15, 17, 19, 21, 23
Which of these numbers have digits that add up to 4?
To find the date of Nancy's birthday, we need to go through the given information step by step:
1. Nancy's birthday is between August 10 and August 24. This means her birthday falls between these two dates.
2. The date of her birthday is not an even number. We can exclude all the even-numbered dates within the given range (August 10, August 12, August 14, August 16, August 18, August 20, August 22, August 24).
3. The sum of the digits is 4. From the remaining odd-numbered dates (August 11, August 13, August 15, August 17, August 19, August 21, August 23), we need to find the one where the sum of its digits is equal to 4.
To determine the date with a sum of digits equal to 4, we can calculate the sum of each date's digits:
- August 11: 1 + 1 = 2
- August 13: 1 + 3 = 4
- August 15: 1 + 5 = 6
- August 17: 1 + 7 = 8
- August 19: 1 + 9 = 10
- August 21: 2 + 1 = 3
- August 23: 2 + 3 = 5
Looking at this, we see that the sum of digits is equal to 4 only for August 13.
Therefore, Nancy's birthday is on August 13.