# Thread: The Sum of Two Numbers...

1. ## The Sum of Two Numbers...

I seem to have a problem figuring out how to write this out.

"The sum of two numbers is 3 and twice the larger number is 36 more than three times the smaller number. Find the numbers."

Any help?

2. Originally Posted by largebabies
I seem to have a problem figuring out how to write this out.

"The sum of two numbers is 3 and twice the larger number is 36 more than three times the smaller number. Find the numbers."

Any help?
We can set up two equations:

$x+y=3$ ----- [sum of two different numbers, where x is the smaller, and y is the larger]

$2y=36+3x$ -----[twice the larger number = 36 + three times the smaller number]

Can you solve this system of equations?

$\left\{\begin{array}{rcrcr}x&+&y&=&3\\-3x&+&2y&=&36\end{array}\right.$

--Chris