<PRE><B>Question 217829</B>
The sum of two consecutive integers is 237. Find the two integers.


Step 1.  Let n be an integer.


Step 2.  Let n+1 be the next consecutive integer.


Step 3.  Then n+n+1=237 since the sum of two consecutive integers is 237.


Step 4.  Solving yields the following steps


{{{2n+1=237}}}


Subtract 1 from both sides of the equation.


{{{2n+1-1=237-1=236}}}


Divide by 2 to both sides of the equation.


{{{2n/2=236/2}}}


{{{n=118}}}  and {{{n+1=119}}}


Step 4.  ANSWER:  The integers are 118 and 119.


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

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