What are the numbers whose sum is 12 and their product is 27 /

Let one of the numbers be x and the other is
y.

Given that the sum of the numbers is
12.

==> x + y=
12............(1)

Also, given that the product is
27.

==> x*y =
27...............(2)

Then we have a system of two equations
ans two variables.

We will use the substitution method to
solve.

From (1) we know that x=
12-y

==> x*y =
27

==> (12-y)*y =
27

==> 12y - y^2 =
27

==> y^2 - 12y + 27 =
0

Now we will
factor.

==> (y-9)(y-3) =
0

==> y1- 9 ==> x1= 12-9 =
3

==> y2= 3 ==> x2 =12-3 =
9

Then the numbers are 3 and
9.