# Thread: question in algebraic fractions

1. ## question in algebraic fractions

I do my school through a program on the computer. (I took a screenshot of my problem below) It's just an example problem, so your not cheating for me haha. NOTE! The question that this is a solution to is "Find the two consecutive odd numbers such that the sum of two-sevenths of the smaller and one-third of the larger is equal to thirty-one. I'm pretty sure I understand everything but what I have circled (in the picture below). Where did 31 come from?

2. Originally Posted by eclipse
I do my school through a program on the computer. (I took a screenshot of my problem below) It's just an example problem, so your not cheating for me haha. NOTE! The question that this is a solution to is "Find the two consecutive odd numbers such that the sum of two-sevenths of the smaller and one-third of the larger is equal to $\color{red}thirty-one$. I'm pretty sure I understand everything but what I have circled (in the picture below). Where did 31 come from?
What is highlighted in red is where your 31 came from. $\frac{2}{7}$ of one number plus $\frac{1}{3}$ of the larger number is equal to 31. So that equality must be established before moving on, which is what your solution is doing.

3. The 31 is in the origional question "Find the two consecutive odd numbers such that the sum of two-sevenths of the smaller and one-third of the larger is equal to thirty-one."

4. ha... I feel stupid now oh well. Maybe I should get more sleep.