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Find two consecutive positive intiger whose …

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Find two consecutive positive intiger whose sum is 21 and products is 110

    • Posted by Jhon Rathi 5 years ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Karan Jaiswal 5 years ago

    Formula

    0Thank You

    Gaurav Seth 5 years ago

    Let 

    first number         =  x

    since this no are consecutive so

    second number   =  x+1

     

    now according to question

     

    x (x+1)                    =   110

     

    x² + x                     = 110

     

    x² + x - 110             = 0

     

    by using factorization method

     

    x² + 11x - 10x -110  =  0

    x(x+11) -10(x+10)    =  0

    (x+11) (x-10)            = 0

    ∵ x = -11 and x       = 10

    The two numbers would be 10 and 11.

    10 x 11 = 110

    10 + 11 = 21

    1Thank You

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