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Math

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The product of two numbers is 108, and the quotient is 12. What are the two numbers.

  • Math - ,

    a=first number

    b=second number

    a*b=108 Divide with b

    a=108/b

    a/b=12

    (108/b)/b=12

    108/b^2=12

    108=12*b^2 Divide with 12

    9=b^2

    b=sqroot(9)

    b=3

    a=108/b

    a=108/3

    a=36

    a=36 b=3

    a*b=36*3=108

    a/b=36/3=12

  • Math - ,

    You also can write:

    b=sqroot(9)

    b= -3

    a=108/b

    a=108/ -3

    a= -36

    a= -36 b= -3

    a*b=(-36)*(-3)=108

    a/b= -36/ -3=12

  • Math - ,

    sqroot(9)= 3 OR -3

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