document.write( "Question 766554: the sum of two numbers is 38. three times the smaller number exceeds the larger number by 30. find the numbers \n" ); document.write( "
Algebra.Com's Answer #468838 by biancafranco86(3)\"\" \"About 
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Let x = smaller number
\n" ); document.write( "and y = larger number
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\n" ); document.write( "from: \"sum of two numbers is 38\"
\n" ); document.write( "x+y = 38 (equation 1)
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\n" ); document.write( "from: \"three times the smaller number exceeds the larger number by 30\" we get
\n" ); document.write( "3x = y+30 (equation 2)
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\n" ); document.write( "Solve equation 1 for y:
\n" ); document.write( "x+y = 38
\n" ); document.write( "y = 38-x
\n" ); document.write( "Substitute above into equation 2:
\n" ); document.write( "3x = y+30
\n" ); document.write( "3x = 38-x+30
\n" ); document.write( "4x = 38+30
\n" ); document.write( "4x = 68
\n" ); document.write( "x = 17 (smaller number)
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\n" ); document.write( "Larger number:
\n" ); document.write( "x+y = 38
\n" ); document.write( "17+y = 38
\n" ); document.write( "y = 21
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\n" ); document.write( "The numbers are 17 and 21 \n" ); document.write( "
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