# 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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