If the days of the year were numbered backward using consecutive numbers (so that December 31 is day number 1), in what month would day number 123 occur?
A. August
B. July
C. March
D. September
I got September but I’m not sure if that’s the correct answer
days
dec 31
Nov 30
Oct 31
Sep 30 total 122 till Christmas
add a day in August.
To determine the month in which day number 123 occurs, we need to count backward from December 31. Since December 31 is day number 1, we subtract 123 from 1 to find the actual day number.
1 - 123 = -122
Since the day number becomes negative, we need to figure out how many days are in each month to determine which month day number 123 corresponds to.
Here is a breakdown of the number of days in each month:
- January: 31 days
- February: 28 or 29 days (leap year)
- March: 31 days
- April: 30 days
- May: 31 days
- June: 30 days
- July: 31 days
- August: 31 days
- September: 30 days
Starting from December 31 and counting backward, we subtract the number of days in each month until we reach a positive or zero value for the day number.
December 31 - 31 (January) = Day 0
Day 0 - 28 or 29 (February) = Day -28 or -29
Day -28 or -29 - 31 (March) = Day -59 or -60
Day -59 or -60 - 30 (April) = Day -89 or -90
Day -89 or -90 - 31 (May) = Day -120 or -121
Day -120 or -121 - 30 (June) = Day -150 or -151
Day -150 or -151 - 31 (July) = Day -181 or -182
Day -181 or -182 - 31 (August) = Day -212 or -213
Day -212 or -213 - 30 (September) = Day -242 or -243
As we can see, day number 123 falls between days -212 or -213, which means it falls within the month of August.
Therefore, the correct answer is A. August.