document.write( "Question 205401: 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 #155057 by alicealc(293)\"\" \"About 
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1st number = x
\n" ); document.write( "2nd number = y\r
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\n" ); document.write( "\n" ); document.write( "x - y = 15
\n" ); document.write( "3x - 2y = 58
\n" ); document.write( "multiply the 1st equation by 2:
\n" ); document.write( "2x - 2y = 30
\n" ); document.write( "then subtract it from the 2nd equation:
\n" ); document.write( "3x - 2y = 58
\n" ); document.write( "2x - 2y = 30
\n" ); document.write( "-------------- (-)
\n" ); document.write( "x = 28\r
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\n" ); document.write( "\n" ); document.write( "substitute x = 28 into x - y = 15
\n" ); document.write( "28 - y = 15
\n" ); document.write( "28 - 15 = y
\n" ); document.write( "y = 13\r
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\n" ); document.write( "\n" ); document.write( "so,the larger number is 28
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