document.write( "Question 396592: The sum of 3 integers is 123. The second number is two more than twice the first number. The third number is five less than the product of three and the first number. Find the three numbers \n" ); document.write( "

Algebra.Com's Answer #281281 by josmiceli(19441) $\"\"$ $\"About$

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call the integers $\"a\"$ , $\"b\"$ , and $\"c\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"a+%2B+b+%2B+c+=+123\"$
\n" ); document.write( " $\"b+=+2a+%2B+2\"$
\n" ); document.write( " $\"c+=+3a+-+5\"$
\n" ); document.write( "-------------------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"a+%2B+2a+%2B+2+%2B+3a+-+5+=+123\"$
\n" ); document.write( " $\"6a+-3+=+123\"$
\n" ); document.write( " $\"6a+=+126\"$
\n" ); document.write( " $\"a+=+21\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"b+=+2a+%2B+2\"$
\n" ); document.write( " $\"b+=+42+%2B+2\"$
\n" ); document.write( " $\"b+=+44\"$
\n" ); document.write( "and
\n" ); document.write( " $\"c+=+3a+-+5\"$
\n" ); document.write( " $\"c+=+63+-+5\"$
\n" ); document.write( " $\"c+=+58\"$
\n" ); document.write( "------------------
\n" ); document.write( "The integers are 21, 44, and 58
\n" ); document.write( " \n" ); document.write( "

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