document.write( "Question 445469: The sum of two numbers is 55. The smaller is 5 less than the larger what are the numbers \n" ); document.write( "

Algebra.Com's Answer #306838 by josmiceli(19441) $\"\"$ $\"About$

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Let the larger number = $\"a\"$
\n" ); document.write( "Let the smaller number = $\"b\"$
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+55+\"$
\n" ); document.write( "(2) $\"+b+=+a+-+5+\"$
\n" ); document.write( "-----------
\n" ); document.write( "By substitution:
\n" ); document.write( "(1) $\"+a+%2B+a+-+5+=+55+\"$
\n" ); document.write( "(1) $\"+2a+-+5+=+55+\"$
\n" ); document.write( "(1) $\"+2a+=+60+\"$
\n" ); document.write( "(1) $\"+a+=+30+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+b+=+a+-+5+\"$
\n" ); document.write( "(2) $\"+b+=+30+-+5+\"$
\n" ); document.write( "(2) $\"+b+=+25+\"$
\n" ); document.write( "The numbers are 25 and 30 \n" ); document.write( "

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