SOLUTION: The left and right page numbers of an open book are two consecutive integers who sum in 239. Find the page numbers....please smaller page number__________ larger page number

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Question 122891: The left and right page numbers of an open book are two consecutive integers who sum in 239. Find the page numbers....please
smaller page number__________
larger page number _________
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Consecutive integers are integers that follow one another. For example, 2,3,4,5,etc.... are consecutive integers

So algebraically, consecutive integers follow the form x, x+1, x+2, etc...



Since the sum of two consecutive integers is 239, this means:

x%2Bx%2B1=239




2x%2B1=239 Combine like terms on the left side


2x=239-1Subtract 1 from both sides


2x=238 Combine like terms on the right side


x=%28238%29%2F%282%29 Divide both sides by 2 to isolate x



x=119 Divide

So our first number is x=119


So to find the next number, simply add 1 to it to get 119%2B1=120


So the next number is x%2B1=120




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Answer:


So our two page numbers are 119 and 120