document.write( "Question 297121: One-fifth of sum of two consecutive integers is 22 less than the smaller integer.
\n" ); document.write( "Find the smaller of the two integers. \n" ); document.write( "

Algebra.Com's Answer #213967 by josmiceli(19441) $\"\"$ $\"About$

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Call the consecutive integers $\"n\"$ and $\"n%2B1\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"%281%2F5%29%2A%28n+%2B+n+%2B+1%29+=+n+-+22\"$
\n" ); document.write( "Multiply both sides by $\"5\"$
\n" ); document.write( " $\"2n+%2B+1+=+5%2A%28n+-+22%29\"$
\n" ); document.write( " $\"2n+%2B+1+=+5n+-+110\"$
\n" ); document.write( " $\"3n+=+111\"$
\n" ); document.write( " $\"n+=+37\"$ answer
\n" ); document.write( "check:
\n" ); document.write( " $\"%281%2F5%29%2A%28n+%2B+n+%2B+1%29+=+n+-+22\"$
\n" ); document.write( " $\"%281%2F5%29%2A%2874+%2B+1%29+=+37+-+22\"$
\n" ); document.write( " $\"75%2F5+=+15\"$
\n" ); document.write( " $\"75+=+75\"$
\n" ); document.write( "OK \n" ); document.write( "

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