document.write( "Question 1087819: the denominator of a rational number is 2 more than its numerator.if numerator is increased 4 times,and 8 is added to tge denominator l.the new number would be 4/3.find the orginal number solution \n" ); document.write( "
Algebra.Com's Answer #702115 by gsmani_iyer(201)\"\" \"About 
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Let the numerator = x
\n" ); document.write( "So the denominator = x+2\r
\n" ); document.write( "\n" ); document.write( "So the fraction = \"x%2F%28x%2B2%29\" .... ...... ..... (1)
\n" ); document.write( "As per the condition,\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2A4%29%2F%28x%2B2%2B8%29+=+4%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"+4x%2F%28x%2B10%29+=+4%2F3\"\r
\n" ); document.write( "\n" ); document.write( "By cross-multiplying the equation,\r
\n" ); document.write( "\n" ); document.write( "\"12x++=+4%2A%28x%2B10%29\"\r
\n" ); document.write( "\n" ); document.write( "\"12x+=+4x%2B40\"\r
\n" ); document.write( "\n" ); document.write( "Subtracting 4x both the sides,\r
\n" ); document.write( "\n" ); document.write( "\"12x-4x+=+4x-4x%2B40\"\r
\n" ); document.write( "\n" ); document.write( "\"8x+=+40\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+40%2F8+=+5%3B++x+=+5\"\r
\n" ); document.write( "\n" ); document.write( "Replacing the value of x in (1),\r
\n" ); document.write( "\n" ); document.write( "\"x%2F%28x%2B2%29+=+5%2F7\"\r
\n" ); document.write( "\n" ); document.write( "The original rational number = \"5%2F7\". Answer. \r
\n" ); document.write( "\n" ); document.write( "I hope you understood the solution. Feel free to contact me by mail.\r
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