document.write( "Question 517303: the larger of two numbers is 8 less than five times the smaller number. the sum of the two numbers is 52. find the two numbers \n" ); document.write( "

Algebra.Com's Answer #344723 by josmiceli(19441) $\"\"$ $\"About$

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call the numbers $\"a\"$ and $\"b\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+a+=+5b+-+8+\"$
\n" ); document.write( " $\"+a+%2B+b+=+52+\"$
\n" ); document.write( "------------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+5b+-+8+%2B+b+=+52+\"$
\n" ); document.write( " $\"+6b+=+60+\"$
\n" ); document.write( " $\"+b+=+10+\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"+a+%2B+b++=+52+\"$
\n" ); document.write( " $\"+a+=+52+-+10+\"$
\n" ); document.write( " $\"+a+=+42+\"$
\n" ); document.write( "The numbers are 42 and 10
\n" ); document.write( "check:
\n" ); document.write( " $\"+a+=+5b+-+8+\"$
\n" ); document.write( " $\"+42+=+5%2A10+-+8+\"$
\n" ); document.write( " $\"+42+=+50+-+8+\"$
\n" ); document.write( " $\"+42+=+42+\"$
\n" ); document.write( "OK \n" ); document.write( "

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