document.write( "Question 449630: The denominator of a rational number is five more than the numerator.if three is added to both numerator and denominator the number becomes 1/2.Find the rational number. \n" ); document.write( "

Algebra.Com's Answer #309312 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The denominator of a rational number is five more than the numerator.
\n" ); document.write( "d = n + 5
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\n" ); document.write( "if three is added to both numerator and denominator the number becomes 1/2.
\n" ); document.write( " $\"%28n%2B3%29%2F%28d%2B3%29\"$ = $\"1%2F2\"$
\n" ); document.write( "Cross multiply
\n" ); document.write( "2(n+3) = d + 3
\n" ); document.write( "2n + 6 = d + 3
\n" ); document.write( "2n = d + 3 - 6
\n" ); document.write( "2n = d - 3
\n" ); document.write( "Replace d with (n+5)
\n" ); document.write( "2n = (n+5) - 3
\n" ); document.write( "2n - n = 5 - 3
\n" ); document.write( "n = 2
\n" ); document.write( "then
\n" ); document.write( "d = 2+5
\n" ); document.write( "d = 7
\n" ); document.write( ":
\n" ); document.write( " $\"2%2F7\"$ is the number
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this, if you add 3 to both numerator and denominator 5/10 = 1/2\r
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