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Dates can be written as month/day/year using integers 1 through 12 for the month, followed by the day of the month, followed by the last two digits of the year. The date 12/ 3/ 45 is an increasing sequence of consecutive digits, while 1/ 22/ 34, 1/ 2/ 35, 1/ 2/ 03 are not. For how many days in one century is the date an increasing sequence of consecutive digits?

 Jan 21, 2018
 #1
avatar+101760 
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1 / 23 / 45

2 / 3 /   45

3 / 4 /   56

4 / 5 /   67

5 / 6 /   78

6 / 7  /  89

12 / 3  / 45

 

 

cool cool cool

 Jan 22, 2018
 #2
avatar+1112 
+1

so the answer is 7?

SmartMathMan  Jan 22, 2018
 #3
avatar+2340 
+1

1/2/34 works, too. 

 

Unless there are others that we have not counted, there are 8.

TheXSquaredFactor  Jan 22, 2018

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