You can also set this up as an algebraic equation.
First decide what variables you want to use, I am going to chose X and Y.
So, my two numbers are X and Y
I also know from the question that their sum is 36, so ....
X + Y = 36
I also know that their product is 320, so ...
X.Y = 320
Now you have simultaneous equations. To deal with these you want to take one equation, and isolate one variable.
Using X + Y = 36
I will isolate X, so ....
X = 36 - Y
Now I want to substitute this into my second equation of X.Y = 320
(36 - Y).Y = 320
Expand ....
36Y - Y^2 = 320
Y^2 - 36Y -320 = 0
Y = (-b +- square root of b^2 - 4ac)/2a
When you solve using this method, there are two values of Y .... And by substitution the two values of X
16 and 20
First decide what variables you want to use, I am going to chose X and Y.
So, my two numbers are X and Y
I also know from the question that their sum is 36, so ....
X + Y = 36
I also know that their product is 320, so ...
X.Y = 320
Now you have simultaneous equations. To deal with these you want to take one equation, and isolate one variable.
Using X + Y = 36
I will isolate X, so ....
X = 36 - Y
Now I want to substitute this into my second equation of X.Y = 320
(36 - Y).Y = 320
Expand ....
36Y - Y^2 = 320
Y^2 - 36Y -320 = 0
Y = (-b +- square root of b^2 - 4ac)/2a
When you solve using this method, there are two values of Y .... And by substitution the two values of X
16 and 20
