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Thread: Find a and b

  1. #1
    Junior Member
    Join Date
    Mar 2007
    Answers
    2

    Find a and b

    what is the value of a and b if
    a^b+b^a=100


  2. #2
    Junior Member
    Join Date
    Mar 2007
    Answers
    2

    Re: Find a and b

    two possibilities
    a=1,b=99 or reverse
    a=6,b=2


  3. #3
    Expert Member
    Join Date
    Jan 2007
    Answers
    272

    Re: Find a and b

    Any number ( > 1 ) can be expressed in form of a^b + b^a
    If number is X
    then X = (X-1) ^ 1 + 1^(X-1)

    so a = X-1 and b = 1

    [B][COLOR="Blue"]Anyone who thinks he knows all the answers, must not be up-to-date on the questions[/COLOR][/B]
    [B]Anshul[/B]:)

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