document.write( "Question 962502: One number seven more than another number if the sum of twice the smaller number +3 times larger number is 81 find the two numbers \n" ); document.write( "

Algebra.Com's Answer #588087 by hkwu(60) $\"\"$ $\"About$

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Standard linear system. Let
\n" ); document.write( "a be the larger
\n" ); document.write( "b be the smaller
\n" ); document.write( "Then we have
\n" ); document.write( " $\"a+=+b+%2B+7\"$
\n" ); document.write( "and
\n" ); document.write( " $\"2b+%2B+3a+=+81\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"2b+%2B+3%28b%2B7%29=81\"$
\n" ); document.write( " $\"2b%2B3b%2B21=81\"$
\n" ); document.write( " $\"5b=60\"$
\n" ); document.write( " $\"b=12\"$
\n" ); document.write( "and
\n" ); document.write( " $\"a=12%2B7=19\"$
\n" ); document.write( "Therefore a = 19 and b = 12. \n" ); document.write( "

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