Posted by Connor on Sunday, October 4, 2009 at 9:59am.
Find all values of the missing digit that make the statement true 214,21_ is divisible by 11

Math  MathMate, Sunday, October 4, 2009 at 10:14am
A number divisible by 11 has the property that the sum of even digits minus the sum of odd digits is 0 or divisible by 11.
14641 is divisible by 11 because
(4+4)(1+6+1)=0
So if the missing digit is x, and if the number 21321x is divisible by 11, then
(1+2+x)(2+3+1)=0
solve for x.

Math  Connor, Sunday, October 4, 2009 at 12:28pm
I am not following. The number you placed x in you used the number 21321x, but the number is 21421x. I am not following your steps to solve for x either

Mathcorr.  MathMate, Sunday, October 4, 2009 at 1:26pm
Sorry, it was a typo. My apologies.
For 21421X
So if the missing digit is x, and if the number 21421x is divisible by 11, then
(1+2+x)(2+4+1)=0
solve for x.

Math  Connor, Thursday, February 20, 2014 at 4:24pm
yo
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