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In the six-digit integer 3A6,792, what is the largest digit A so that the six-digit integer will be divisible by 3?

 Nov 7, 2019
 #1
avatar+212 
+3

The requirement for divisibility by 3 is that all the digits have to add up to a multiple of 3. 

 

 

3 + 6 + 7 + 9 + 2 = 27 

 

This is already divisible by 3 so you can say that the largest multiple of 3 from 1 - 10 is the value of A.

 

3 * 1 = 3

3 * 2 = 6

3 * 3 = 9

 

A = 9; the sum of the digits is 36 which is 12 * 3

 Nov 7, 2019
 #2
avatar+106031 
+2

Very nicely explained Mathleteit  laugh

Melody  Nov 7, 2019

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