I am a four digit even number.my ones digit is twice of tens digit. my tens digit is twic of hundred digits.my thousand digit is one fourth

Question

I am a four digit even number.my ones digit is twice of tens digit. my tens digit is twic of hundred digits.my thousand digit is one fourth of tens digit

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Adeline 2 weeks 2021-11-24T22:10:33+00:00 1 Answer 0 views 0

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    2021-11-24T22:11:44+00:00

     Let \: hundred \: place \: digit = x

     Ten's \: place \:digit = 2x

     Unit's \:place \:digit = 4x

     Thousands \:place \:digit = \frac{2x}{4}

    / * To satisfy above conditions , we must take x = 2 */

    Therefore.,

     1 ) hundred \: place \: digit = x = 2

     2 ) Ten's \: place \:digit

    = 2x

     = 2\times 2

     = 4

     3) Unit's \:place \:digit

    = 4x

     = 4 \times 2

      = 8

     4) Thousands \:place \:digit

     = \frac{2x}{4}

     = \frac{ 2 \times 2}{4}

      = 1

    Now,

     \red{ Required \: 4 \:digit \:number }

    \green{ = 1248 }

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