document.write( "Question 1101595: The sum of three consecutive integers equals the difference between 5 times the smallest and the largest. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #716186 by josmiceli(19441) $\"\"$ $\"About$

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Let the 3 consecutive integers be
\n" ); document.write( " $\"+n+\"$ , $\"+n%2B1+\"$ , and $\"+n+%2B+2+\"$
\n" ); document.write( "---------------------------------
\n" ); document.write( " $\"+n+%2B+n+%2B+1+%2B+n+%2B+2+=+5n+-+%28+n%2B2+%29+\"$
\n" ); document.write( " $\"+3n+%2B+3+=+5n+-+n+-+2+\"$
\n" ); document.write( " $\"+3n+=+4n+-+5+\"$
\n" ); document.write( " $\"+n+=+5+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+n+%2B+1+=+6+\"$
\n" ); document.write( " $\"+n+%2B+2+=+7+\"$
\n" ); document.write( "The consecutive integers are 5, 6, and 7
\n" ); document.write( "-------------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+n+%2B+n+%2B+1+%2B+n+%2B+2+=+5n+-+%28+n%2B2+%29+\"$
\n" ); document.write( " $\"+5+%2B+6+%2B+7+=+5%2A5+-+7+\"$
\n" ); document.write( " $\"+18+=+25+-+7+\"$
\n" ); document.write( " $\"+18+=+18+\"$
\n" ); document.write( "OK \n" ); document.write( "

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