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March 26, 2017

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The difference between two numbers is 9 and the product of the numbers is 162. Find the two numbers. Explain your working

  • Mathematics - ,

    Let x be the larger number
    x*(x-9) = 162

    Rearrange and factor
    x^2 - 9x -162 = 0
    (x+9)(x - 18) = 0
    Take it from there.

    There will be two pairs of solutions.

  • Mathematics - ,

    By symbols

    A-B=9

    AxB=162

    so A=9+B

    (9+B)B=162

    9B+B^2=162

    B^2+9B-162=0

    so B=-18 or 9

    correspondingly from AxB=162

    A=-9 or 18

    check against A-B=9

    -9--18=9

    18-9=9

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