What two number multiply to 540 and add to 12?

Answer 1

552

Answer 2

To find two numbers that multiply to 540 and add up to 12, we can use a system of equations. Let's call the two numbers x and y. We have the equations xy = 540 and x + y = 12. By factoring 540, we find that 540 = 2 * 2 * 3 * 3 * 3 * 5 = 2^2 * 3^3 * 5. By trial and error or algebraic methods, we can determine that the two numbers are 6 and 9.

Answer 3

Here's how I did it:

I set up my two equations:

xy=540

x+y=12

Then, by subtraction

x=12-y

By substitution:

xy=540

(12-y)y=540

12y-y2=540

-y2+12y-540=0

Through the quadratic formula...

y=6 ± -6i√14

If you use addition for y, then you should subtract for x, so that x + y = 12

Answer 4

Let's paint a happy little picture here. The two numbers we're looking for are 18 and 30. When you multiply them, you get 540, and when you add them together, you get 48. Just remember, there are always happy little solutions waiting to be found.