AMC12 Question (logic/thinking question): https://www.artofproblemsolving.com/Wiki/index.php/2007_AMC_12A_Problems/Problem_11

For the solution, how did they get the "111" in S=111k ?

Question

AMC12 Question (logic/thinking question): https://www.artofproblemsolving.com/Wiki/index.php/2007_AMC_12A_Problems/Problem_11

For the solution, how did they get the "111" in S=111k ?

mertsj · Answer

They said that a given digit is the hundreds, tens, and units digit.  So they used the simplest case where all three are ones.  They could easily have used 222 or 333.  If they used 222 they would have written 6(37)k  if they used 333 they would have written 9(37)k...
You get my drift.

anonymous · Answer

Oh, OK, that makes so much sense! Thanks for your help!