Answer by Steven S
the book is opened to pages 30 and 31.
the product means the two pages are multiplied and equal 930...
x*(x+1)= 930
process of elimination.
Math problem?
Question by Kali_Mae_<3: Math problem?
I am in fifth grade and i need hlep with a math problem.
A book is lying open on a desk. The produst of the page numbers is 930. What are the two page numbers?
That is sooooo tricking me and I have to worry about selling candy bars and school and school work! It is soooo frustrating! So if u could help me on this problem i would sooo apprecitat it! I have been working sooo hard on it!
Best answer:
…465?
This is a bit beyond fifth grade but I’ll show you as simply as I can. Books have consecutive page numbers, so any product will be a number times that number plus one. We can symbolize this as follows:
x(x+1)
Since the product of the pages equals 930, we set this equal to 930.
x(x+1)=930
The only positive number that will satisfy this equation is x=30. Therefore the pages are 30 and 31.
(a)x(a+1) =930 is our equation.
The a stands for the page on the left side, a+1 is the page on the right side, since the next page has to be only one higher.
Then, just multiply it out to get:
a squared+a=930
After that, you can simply try random numbers for ‘a’. It is 30. That means the pages are 30 and 31.
pages r 30 and 31. ur turn
The two things you know are this:
1. The numbers are only one digit apart (because they’re from adjacent pages in a book)
2. The product (one number multiplied by the other number) is 930.
So, you can start multiply numbers by themselves+1 (i.e. 20×21, 21×22, 22×23, etc.) until you find the answer.
You’ll find that the answer happens to be 30 and 31.
You can also use algebra to solve the problem but I’m guessing that you’re not into algebra yet:
Here’s an algebraic approach, just for fun:
The first number, we’ll call “x”
The second number we’ll call “x+1″ because it’s one more than x.
So, x multiplied by x+1 = 930.
That means that that x^2 + x = 930 or x^2+x-930 = 0
Using the quadratic equation, we find that…
x = (-1Âħsqrt(1+(4*930))/2
x = (-1 + 61)/2
x = 60/2
x = 30
Solution: 30 and 31
465