document.write( "Question 963526: The numbers on three raffle tickets are consecutive integers whose sum is 7530. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #588656 by hkwu(60) $\"\"$ $\"About$

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Let a, b, c denote your integers. WLOG, assume that c is the largest integer. Then
\n" ); document.write( " $\"c=b%2B1\"$
\n" ); document.write( " $\"b=a%2B1\"$
\n" ); document.write( "and
\n" ); document.write( " $\"a%2Bb%2Bc=7530\"$
\n" ); document.write( "Substituting, we get
\n" ); document.write( " $\"a%2B%28a%2B1%29%2B%28b%2B1%29=7530\"$
\n" ); document.write( " $\"a%2Ba%2B1%2B%28%28a%2B1%29%2B1%29=7530\"$
\n" ); document.write( " $\"3a%2B3=7530\"$
\n" ); document.write( " $\"3a=7527\"$
\n" ); document.write( " $\"a=2509\"$
\n" ); document.write( "Thus a = 2509, b = 2510, and c = 2511.
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\n" ); document.write( "Leave a message if I helped. \n" ); document.write( "

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