document.write( "Question 257748: 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 \n" ); document.write( "
Algebra.Com's Answer #189620 by dabanfield(803)\"\" \"About 
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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\r
\n" ); document.write( "\n" ); document.write( "Let x be the smaller and y the larger number.\r
\n" ); document.write( "\n" ); document.write( "Then:\r
\n" ); document.write( "\n" ); document.write( "1.) y - x = 15 and
\n" ); document.write( "2.) 3*y - 2*x = 58 \r
\n" ); document.write( "\n" ); document.write( "From 1.) we have y = x + 15. Substituting x + 15 for y in 2.) we have:\r
\n" ); document.write( "\n" ); document.write( "3*(x + 15) - 2*x = 58
\n" ); document.write( "3*x + 45 - 2*x = 58
\n" ); document.write( "x = 58 - 45
\n" ); document.write( "x = 13\r
\n" ); document.write( "\n" ); document.write( "Since y = x + 15:
\n" ); document.write( "y = 13 + 15
\n" ); document.write( "y = 28\r
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