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My thousands digit is twice my hundreds digit. The sum of my tens and ones digit is my thousands digit. My hundreds digit is 2 more than my tens digit. My tens digit is greater than 1 and less than 3. What 4 digit number am I?

  • math - ,

    8,426.
    Let x represent the hundreds digit.

    My thousands digit is twice my hundreds digit --> Thousands= 2X

    Hundreds= X

    My hundreds digit is 2 more than my tens digit. --> Tens= X-2

    Ones= Y

    The sum of my tens and ones digit is my thousands digit. --> 2X=(X-2)+Y

    My tens digit is greater than 1 and less than 3--> Since it must be a whole number. 1<x<3, then x-2=2 so x=4

    Plug in 4 for x to get the thousands, and tens. Then solve 2X=x-2+y to get the ones.

    Answer is 8,426.

  • math - ,

    I am a 3 digit number greater than 500 my tens digit is double my ones digit and half my hundreds digit what number am i

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