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Thread: Puzzle - Number puzzle..

  1. #1
    PW Stalwart Master's Avatar
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    Question Puzzle - Number puzzle..

    What four digit number has digit 1 three less than digit 4 which is one more than digit 2 which is twice digit 3 which is not a prime number and is one more than 1/3 of digit 4?




  2. #2
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    Please give answer with explaination.

  3. #3
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    My Answer 0213Going from left to right.

    Lets consider 4th digit to be x.
    now digit 1 is three less than digit 4 ... x-3
    which is (digit 4) is 1 more than digit 2. so digit 2 is..x-1
    which is (digit 2) is twice than digit 3... so digit 3 is .. (x-1)/2
    also digit 3 is 1 more than 1/3 of digit 4 .. so x/3 +1

    so digit 3 are :
    x/3 + 1 = (x-1)/2--------******
    2x/3 + 2= x-1
    x=2x/3 + 1
    3x=2x + 3
    x=3

    and digit are 0213

  4. #4
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    miscalculation
    2x/3 + 2= x-1
    x=2x/3 + 1 <==

    should be
    x=2x/3+3
    x=9

  5. #5
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    Quote Originally Posted by Master View Post
    miscalculation
    2x/3 + 2= x-1
    x=2x/3 + 1 <==

    should be
    x=2x/3+3
    x=9
    Good catch MASTER !

  6. #6
    PW Fan tigershark's Avatar
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    6849

    Digit 2 is twice of digit 3

    2- 2468
    3- 1234

    digit 4 is one more than digit 2

    2- 2468
    3- 1234
    4- 3579

    digit 1 is 3 less than digit 4

    1- 0246
    2- 2468
    3- 1234
    4- 3579

    so four possible solutions uptill now are 0213, 2425, 4637, 6849

    digit 3 is not a prime number and is 1 more than 1/3 of digit 4
    hence it is 6849

    1- 0248
    2- 2468
    3- 1234
    4- 3579


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