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

- Math-corr. -
**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 2**1**4**2**1**x** 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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