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Question 447731: Two pages that face eachother in a book have 465 as the sum of their page numbers. What is the number of the page that comes first?
Answer by Leaf W.(135)   (Show Source):
You can put this solution on YOUR website! p = one of the page numbers
Since they are facing each other, one number must have be one page greater than the other, so:
p + 1 = other page number
They have a sum of 465, so:
p + (p + 1) = 465
p + p + 1 = 465
2p + 1 = 465
Subtract 1 from both sides: 2p = 464
Divide both sides by 2: p = 232
So, one of the page numbers is 232. Plug this in for the value of p into the expression representing the other page number (p + 1) to find the other page number:
232 + 1 = 233
Therefore, the two page numbers are 232 and 233. However, the problem only asks for the page number that comes first. Since 232 is smaller, it must come first in the book.
***Therefore, the number of the page that comes first is 232.
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