document.write( "Question 1204198: The numerator of a fraction is 5 less than its denominator. If 6 is added to the numerator and 4 to the denominator, the fraction is doubled. What is the fraction?
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Algebra.Com's Answer #840294 by mananth(16946)![]() ![]() You can put this solution on YOUR website! The numerator of a fraction is 5 less than its denominator.\r \n" ); document.write( "\n" ); document.write( "Let numerator be x \n" ); document.write( "denominator will be x+5\r \n" ); document.write( "\n" ); document.write( "The fraction is x/(x+5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " If 6 is added to the numerator and 4 to the denominator, the fraction is doubled. \r \n" ); document.write( "\n" ); document.write( "(x+6)/(x+5+4)= 2* (x/(x+5))\r \n" ); document.write( "\n" ); document.write( "(x+6)/(x+9) = 2x/(x+5)\r \n" ); document.write( "\n" ); document.write( "(x+6)(x+5) =2x(x+9)\r \n" ); document.write( "\n" ); document.write( "x^2+11x+30 =2x^2+18x\r \n" ); document.write( "\n" ); document.write( "Re arrange \r \n" ); document.write( "\n" ); document.write( "x^2+7x-30 =0\r \n" ); document.write( "\n" ); document.write( "x^2+10x-3x-30=0\r \n" ); document.write( "\n" ); document.write( "x(x+10)-3(x+10)=0\r \n" ); document.write( "\n" ); document.write( "(x+10)(x-3)=0\r \n" ); document.write( "\n" ); document.write( "x=-10 or 3\r \n" ); document.write( "\n" ); document.write( "Now write the fraction \n" ); document.write( " \n" ); document.write( " |