2007-09-16 14:10:33 · 14 answers · asked by Becca G 1 in Science & Mathematics ➔ Mathematics
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
2007-09-16 14:16:50 · answer #1 · answered by alpha 7 · 1⤊ 0⤋
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.
2007-09-16 14:26:29 · answer #2 · answered by Grampedo 7 · 0⤊ 0⤋
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
2007-09-16 14:21:23 · answer #3 · answered by Hamma 2 · 0⤊ 0⤋
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.
2007-09-16 14:15:37 · answer #4 · answered by Meg 2 · 0⤊ 0⤋
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.
2007-09-16 14:20:13 · answer #5 · answered by b_masters1 3 · 0⤊ 0⤋
15 and 16. The only consecutive numbers that multiply to 240.
2007-09-16 14:15:30 · answer #6 · answered by juicy_wishun 6 · 0⤊ 0⤋
Two consecutive numbers who's product is 240 are "15" and "16"
15
x_ 16_
90
+150_
240
2007-09-16 14:26:39 · answer #7 · answered by dominos_tweety 1 · 0⤊ 0⤋
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
2007-09-16 14:28:08 · answer #8 · answered by ironduke8159 7 · 0⤊ 0⤋
15 and 16.
15 * 16 = 240
2007-09-16 14:15:35 · answer #9 · answered by the_chosen_one 3 · 0⤊ 0⤋
i know 15 & 16 fit your math criteria,
but page 15 and 16 don't face each other.
2007-09-16 14:18:06 · answer #10 · answered by lorenzo 6 · 0⤊ 0⤋