document.write( "Question 701054:
\n" ); document.write( "The denominator of a fraction exceeds twice the numerator by 3. If the numerator is increased by 4 and the denominator is decreased by 3, the resulting fraction is 5 over 6. Find the original fraction.
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Algebra.Com's Answer #432303 by checkley79(3341)\"\" \"About 
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X/(2X+3)
\n" ); document.write( "(X+4)/(2X+3-3)=5/6
\n" ); document.write( "(X+4)/(2X)=5/6 CROSS MULTIPLY
\n" ); document.write( "5*2X=6(X+4)
\n" ); document.write( "10X=6X+24
\n" ); document.write( "10X-6X=24
\n" ); document.write( "4X=24
\n" ); document.write( "X=24/4
\n" ); document.write( "X=6
\n" ); document.write( "2*6+3=15
\n" ); document.write( "6/15 IS THE ORIGINAL FRACTION.
\n" ); document.write( "PROOF:
\n" ); document.write( "(6+4)/(15-3)=5/6
\n" ); document.write( "10/12=5/6
\n" ); document.write( "5/6=5/6
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