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Find P

  1. Oct 4, 2004 #1
    P corresponds to prime digits(i donno what thi means.....i am giving exactly as given in a test)

    7P5
    x33
    ---------
    PPPP
    PPPP
    ----------
    PPPPP


    Find the value of P?
     
  2. jcsd
  3. Oct 4, 2004 #2
    Let's suppose P is a string of digits.
    From 5x3 -> P ends in a '5'
    From PPPP+PPPP = PPPPP -> P ends in a '0'

    So it's impossible.
     
  4. Oct 4, 2004 #3
    actually i could not put the correct indentation(i am new to this site)....

    somebody tell me how to attach a file
     
  5. Oct 4, 2004 #4

    Gokul43201

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    Is this what you want ?

    Code (Text):

     
                 7 P 5
                 x 3 3
             ---------
               P P P P            
             P P P P
            ----------
             P P P P P


     
     
  6. Oct 4, 2004 #5

    Gokul43201

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    Even with the indentation (enclose within [ code] [ /code] tags), there would be no solution, as you would have PPPP + PPPP0 = PPPPP.

    Why is this impossible ?

    PPPP -> 1000P+100P+10P+P = 1111P and similarly PPPP0 ->11110P, so adding should give 12221P, but clearly PPPPP -> 11111P, a contradiction, unless P=0. But clearly P can't be 0.
     
  7. Oct 4, 2004 #6

    Gokul43201

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    I think you haven't copied the problem down correctly....

    Here's another reason why this is wrong (if you're not happy with the previous ones) :

    700 X 33 = 23100
    800 X 33 = 26400

    So clearly 7P5 X 33 must be in the 2 thousands, therefore P must be 2. But also, any multiple of 5 must end with 5, so P must be 5. A contradiction !
     
    Last edited: Oct 4, 2004
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