document.write( "Question 638986: The sum of two consecutive odd integers is 137. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #402501 by KMST(5328) $\"\"$ $\"About$

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Not possible.
\n" ); document.write( "Adding two odd integers (consecutive or not), you will always get an even number, and 137 is not even.
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\n" ); document.write( "If the sum of two consecutive integers (obviously one of them odd and the other one even) were 137, then we could solve the problem.
\n" ); document.write( "We can call two consecutive integers $\"x\"$ and $\"x%2B1\"$
\n" ); document.write( "Their sum is $\"x%2B%28x%2B1%29=%28x%2Bx%29%2B1=2x%2B1\"$
\n" ); document.write( "If that sum is 137, then
\n" ); document.write( " $\"2x%2B1=137\"$ --> $\"2x%2B1-1=137-1\"$ --> $\"2x=136\"$ --> $\"2x%2F2=136%2F2\"$ --> $\"highlight%28x=68%29\"$ \n" ); document.write( "

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