document.write( "Question 129968: The difference between two numbers is 15. when twice the smaller number is subtracted from three times the larger number, the difference is 58. what is the larger number? Thank you... \n" ); document.write( "

Algebra.Com's Answer #94926 by josmiceli(19441) $\"\"$ $\"About$

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Call the larger number $\"a\"$
\n" ); document.write( "Call the smaller number $\"b\"$
\n" ); document.write( " $\"a+-+b+=+15\"$
\n" ); document.write( " $\"b+=+a+-+15\"$
\n" ); document.write( " $\"3a+-+2b+=+58\"$
\n" ); document.write( " $\"3a+-+2%28a+-+15%29+=+58\"$
\n" ); document.write( " $\"3a+-+2a+%2B+30+=+58\"$
\n" ); document.write( " $\"a+=+58+-+30\"$
\n" ); document.write( " $\"a+=+28\"$
\n" ); document.write( "The larger number is 28
\n" ); document.write( "check:
\n" ); document.write( " $\"b+=+a+-+15\"$
\n" ); document.write( " $\"b+=+28+-+15\"$
\n" ); document.write( " $\"b+=+13\"$
\n" ); document.write( " $\"3a+-+2b+=+58\"$
\n" ); document.write( " $\"3%2A28+-+2%2A13+=+58\"$
\n" ); document.write( " $\"84+-+26+=+58\"$
\n" ); document.write( " $\"58+=+58\"$
\n" ); document.write( "OK \n" ); document.write( "

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