SOLUTION: Consecutive integer problem. May I please ask for assistance? The definitions of the words job and join are on back-to-back pages in a dictionary. If the sum of those pages is

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Question 217421: Consecutive integer problem. May I please ask for assistance?
The definitions of the words job and join are on back-to-back pages in a dictionary. If the sum of those pages is 1,411, on what page can the definition of job be found?

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Consecutive integer problem. May I please ask for assistance?
The definitions of the words job and join are on back-to-back pages in a dictionary. If the sum of those pages is 1,411, on what page can the definition of job be found?

Step 1. Let n be one page and n+1 be the next consecutive page.

Step 2. Let n+n+1 be the sum of the two page numbers.

Step 3. Then n+n+1=1411 since the sum is 1411 as given by the problem statement.

Step 4. Solving

n%2Bn%2B1=1411

2n%2B1=1411

Subtract 1 from both sides we have,

2n%2B1-1=1411-1

2n=1410

Divide 2 to both sides of the equation

2n%2F2=1410%2F2

n=705 and n%2B1=706

Step 5. ANSWER: The pages are 705 and 706.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J