SOLUTION: Lockers are numbered with consecutive positive integers beginning with 1, and the digit 2 is used exactly 106 times (including on the last locker). What is the number of the last l
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Question 1121426: Lockers are numbered with consecutive positive integers beginning with 1, and the digit 2 is used exactly 106 times (including on the last locker). What is the number of the last locker? Found 2 solutions by Boreal, ikleyn:Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! There are 20 in the first 100, 2,12,22,32...,92 (11)and 20-29, excluding 22 (9)
There are 20 from 101-199
Need 66 more:
200-219 (22)
220-229 (21)
230-249 (22)
250 ANSWER
1-9 (2 used 1 time - 105 to go)
10-19 (2 used 1 time - 104 to go)
20-29 (2 used 11 times - 93 to go)
30-99 (2 used 7 times - 86 to go)
100-119 (2 used 2 times - 84 to go)
120-129 (2 used 11 times - 73 to go)
130-199 (2 used 7 times - 66 to go)
200-219 (2 used 22 times - 44 to go)
220-229 (2 used 21 times - 23 to go)
230-239 (2 used 11 times - 12 to go)
240-249 (2 used 11 times - 1 to go)
250 (2 used 1 time - 0 to go)
250 is your answer (the brute-force way)
