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The three-digit integer $63\underline{\hphantom{0}}$ is a multiple of 3. What is the greatest possible difference between two of the possibilities for the units digit?

 Apr 1, 2020
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\($63\underline{\hphantom{0}}$ \)

 

If  this is  divisible  by  3, the  sum of its digits must also be divisible  by 3

 

The the possibilities for the units digit  are   0 , 3, 6  and  9

 

The  largest  difference is 9 - 0   =   9

 

 

cool cool cool 

 Apr 1, 2020

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