Math
posted by Emily on .
The product of two numbers is 108, and the quotient is 12. What are the two numbers.

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 
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 
sqroot(9)= 3 OR 3