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In the year 2012, Mike's birthday, which is in January, will fall on a Monday. What are the next
two years in which it will fall on a Monday? Show your work
Solution
Mike's birthday is on a monday in January 2012. Recall that in 2012 we have a leap year.
So in 2013 his birthday will land on a Wednesday
366 days/7 days a week = 52 weeks and two days
2014 - 52 weeks and 1 day so it lands on a thur
15 - Friday
16 - Saturday (leap)
17 - Monday
+ five more years with this trend
18 - tues
19 - wed
20 - thur (leap)
21 - sat
22 - sun
23 - mon
So in 2017 and 2023

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In the year 2012, Mikes birthday, which is in January, will fall o.pdf

  • 1. In the year 2012, Mike's birthday, which is in January, will fall on a Monday. What are the next two years in which it will fall on a Monday? Show your work Solution Mike's birthday is on a monday in January 2012. Recall that in 2012 we have a leap year. So in 2013 his birthday will land on a Wednesday 366 days/7 days a week = 52 weeks and two days 2014 - 52 weeks and 1 day so it lands on a thur 15 - Friday 16 - Saturday (leap) 17 - Monday + five more years with this trend 18 - tues 19 - wed 20 - thur (leap) 21 - sat 22 - sun 23 - mon So in 2017 and 2023