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A particular number written in base 3 requires three digits. When the number is written in base 3 and 4, the digits are the reverse of each other. What is this number expressed in base 10?

 Jan 2, 2020
 #1
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Base 3.  211.  In base 10 this is 2*32+1*3+1 = 22

 

Base 4.  112.  In base 10 this is 1*42+1*4+2 = 22

 Jan 2, 2020
 #2
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thank you! how did you get the answer so fast though? i was unsucessfully guessing and checking for a long time :'(

atlas9  Jan 2, 2020
 #3
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If we can limit the cables that we must try, then the question becomes much easier. Think of a way to limit the values that we must try and better relate the 'unknown' properties (an equation).

Guest Jan 2, 2020

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