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Erica and Andrew are playing a game. Erica starts by selecting three digits a, b, c and, and then Andrew needs to select a digit x such that the six-digit number \(\overline{axbxcx}\)is a multiple of 9. What is the sum of all possible values of a+b+c that would give Andrew exactly 3 choices of x?

 Apr 1, 2021
 #1
avatar+118470 
+2

If I understand  the question correctly.....

 

Let        a  =  7     b  =  2    c   =  9

 

When  x  =  0

702090  / 9    =  7801

 

When x  =  3

732393  /  9   =  81377

 

When x  =  6

762696 / 9   =  84744

 

a +  b  +  c    =   18

 

cool cool cool

 Apr 1, 2021

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