document.write( "Question 1182962: The denominator of a fraction is 9 more than its numerator. If the numerator and the
\n" ); document.write( "denominator both are increased by 7, the new fraction becomes
\n" ); document.write( "10
\n" ); document.write( "7
\n" ); document.write( ". Find the original
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Algebra.Com's Answer #813077 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "let numerator be \"x\"
\n" ); document.write( "if the denominator is \"9\" more than numerator, the denominator is \"x%2B9\"\r
\n" ); document.write( "\n" ); document.write( "fraction is:
\n" ); document.write( "\"x%2F%28x%2B9%29\"\r
\n" ); document.write( "\n" ); document.write( "if the numerator and the denominator both are increased by \"7\", the new fraction becomes \"10%2F7\" \r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B7%29%2F%28x%2B9%2B7%29=10%2F7\"............solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B7%29%2F%28x%2B16%29=10%2F7\"...., cross multiply\r
\n" ); document.write( "\n" ); document.write( "\"7%28x%2B7%29=10%28x%2B16%29\"\r
\n" ); document.write( "\n" ); document.write( "\"7x%2B49=10x%2B160\"\r
\n" ); document.write( "\n" ); document.write( "\"49-160=10x-7x\"\r
\n" ); document.write( "\n" ); document.write( "\"-111=3x\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-111%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-37\"-> numerator\r
\n" ); document.write( "\n" ); document.write( "the denominator is \"x%2B9=-37%2B9=-28\"\r
\n" ); document.write( "\n" ); document.write( "the original fraction is \"highlight%28-37%2F-28%29\"\r
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\n" ); document.write( "\n" ); document.write( "check: the numerator and the denominator both are increased by \"7\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28%28-37%2B7%29%2F%28-28%2B7%29%29=10%2F7\"
\n" ); document.write( "\"highlight%28%28-30%29%2F%28-21%29%29=10%2F7\"
\n" ); document.write( "\"highlight%2830%2F21%29=10%2F7\"
\n" ); document.write( "\"highlight%2810%2F7%29=10%2F7\"\r
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