Thread: Finding the two numbers... (check my work)

Hey, everyone!

I'm having a little trouble with this one... I'm pretty sure I'm missing something, though. Here's the problem:

"The product of two numbers is 407. One of the numbers is three times the other number, augmented by four. Find the sum of the two numbers."

So, I chose and as my numbers and this is what I got, based on the description:




When multiplied, you get 407



So, I substitute and simplify:








I'm assuming the solution I should choose is the 11, right?

Now, substituting for





and now I add:



Thoughts?

Thanks in advance!

You will have to show BOTH possible sets of solutions.

Originally Posted by Prove It

You will have to show BOTH possible sets of solutions.

So, it's just a matter of plugging in the other solution, too? Is what I've done correct, then?

Thank you so much!!