document.write( "Question 516749: The difference between two numbers is 20. Five times the smaller is the same as 4 less than twice larger. Find the numbers \n" ); document.write( "

Algebra.Com's Answer #344475 by oberobic(2304) $\"\"$ $\"About$

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Two numbers: x & y.
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\n" ); document.write( "x - y = 20
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\n" ); document.write( "x = y+20
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\n" ); document.write( "5x = 2y-4
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\n" ); document.write( "5(y+20) = 2y-4
\n" ); document.write( "5y + 100 = 2y -4
\n" ); document.write( "3y + 100 = -4
\n" ); document.write( "3y = -104
\n" ); document.write( "y = -104/3
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\n" ); document.write( "x-y = 20
\n" ); document.write( "x-(-104/3) = 20
\n" ); document.write( "x + 104/3 = 20
\n" ); document.write( "x = 20 - 104/3
\n" ); document.write( "x = 60/3 -104/3
\n" ); document.write( "x = -44/3
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\n" ); document.write( "check to see if this works
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\n" ); document.write( "5x = 2y-4
\n" ); document.write( "5(-44/3) = -220/3
\n" ); document.write( "2y-4 = 2(-104/3) -4
\n" ); document.write( "2y-4 = -208/3 - 12/3 = -220/3
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\n" ); document.write( "Answer: The numbers are -104/3 and -44/3.
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\n" ); document.write( "Done. \n" ); document.write( "

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