The product of the page numbers on two facing pages of a book is 240. What are the page numbers?

Let the page numbers be x and x+1


Therefore


x(x+1)=240


x^2+x-240=0


(x+16)(x-15)=0


Rejecting the negative value of x,we get x=15


Therefore,the page nos are 15 and 16

The product of the page numbers on two facing pages of a book is 240. What are the page numbers?
i know 15 %26amp; 16 fit your math criteria,


but page 15 and 16 don't face each other.
Reply:15 and 16. Too easy.
Reply:Two consecutive numbers who's product is 240 are "15" and "16"





15


x_ 16_


90


+150_


240
Reply:15 and 16. The only consecutive numbers that multiply to 240.
Reply:If the pages are facing, then the page numbers are consecutive. If p is one page no. then p+1 is the next.


We are told the product is 240


p(p+1)=240


p^2+p-240=0


(p+16)(p-15)=0


Now for (p+16)(p-15) to equal zero, at least one of


(p+16)(p-15) must be zero.


If p+16=0, p=-16


If p-15=0,p=15


Can't have -16 pages (maybe the book is upside down!), so p=15, p+1=16


Pages are 15 and 16.
Reply:Let me ask this question: Is the book already bound together, or is it still in layout form, prior to printing and binding?
Reply:Well, it wouldn't be 15 and 16 because those wouldn't face each other.
Reply:The pages face eachother, so that means there are simply consecutive pages. So let x be the first page, and then x+1 would be the second page. Since the product is 240 we get that,





x(x+1)=240





Then just solve for x.
Reply:x(x+1)=240


x^+x-240 = 0


(x+16)(x-15) = 240


x = 15


x+1 = 16


But this is impossible since the left page is always even and the right page is always odd.





Thus there is no solution
Reply:15 and 16.





15 * 16 = 240
Reply:1 and 240


120; 2


80; 3


60; 4


48; 5


40; 6


30; 8


24; 10


20; 12


16; 15
Reply:a x b = 240





since they're page numbers on two facing pages, then they're consecutive numbers, that is, they come after one another





thus if a is one of the numbers then the next page number must be a + 1 since its on just the next page





thus you have your equation


(a + 1) (a) = 240


a^2 + a = 240


a^2 + a - 240 = 0


(a - 15) (a + 16) = 0


a = 15, -16





a page number cannot be negative so a must be equal to 15





a = 15


a + 1 = 15 + 1 = 16





thus the two numbers are 15 and 16
Reply:Unfortunately, even though 15 and 16 do not face each other, those are the only numbers that I know of that multiply to 240. I tend to agree with the others that have responded.