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March 30, 2017

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Find all values of the missing digit that make the statement true 214,21_ is divisible by 11

  • Math - ,

    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 - ,

    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. - ,

    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 - ,

    yo

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