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 #467029 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
the sum of two numbers is 38. three times the smaller number exceeds the larger number by 30. find the numbers
\n" ); document.write( ".
\n" ); document.write( "Let x = smaller number
\n" ); document.write( "and y = larger number
\n" ); document.write( ".
\n" ); document.write( "from: \"sum of two numbers is 38\"
\n" ); document.write( "x+y = 38 (equation 1)
\n" ); document.write( ".
\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)
\n" ); document.write( ".
\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)
\n" ); document.write( ".
\n" ); document.write( "Larger number:
\n" ); document.write( "x+y = 38
\n" ); document.write( "17+y = 38
\n" ); document.write( "y = 21
\n" ); document.write( ".
\n" ); document.write( "The numbers are 17 and 21
\n" ); document.write( " \n" ); document.write( "

\n" );