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

Subtract 1 from both sides we have,

Divide 2 to both sides of the equation

and

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