document.write( "Question 401327: The different 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? \n" ); document.write( "
Algebra.Com's Answer #283993 by algebrahouse.com(1659)\"\" \"About 
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\"The different 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?\"\r
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\n" ); document.write( "\n" ); document.write( "x = larger number
\n" ); document.write( "x - 15 = smaller number\r
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\n" ); document.write( "\n" ); document.write( "3x - 2(x - 15) = 58 {twice the smaller is subtracted from three times the larger}
\n" ); document.write( "3x - 2x + 30 = 58 {used distributive property with -2}
\n" ); document.write( "x + 30 = 58 {combined like terms}
\n" ); document.write( "x = 28 \"larger number\" {subtracted 30 from both sides}
\n" ); document.write( "x - 15 = 13 \"smaller number\" {substituted 28, for x, into x - 15}\r
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\n" ); document.write( "\n" ); document.write( "larger number is 28\r
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\n" ); document.write( "\n" ); document.write( "www.algebrahouse.com\r
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