document.write( "Question 722984: If the numerator and denominator of a fraction are each increased by 1, the result is 35; but if the numerator and denominator are each decreased by 1, the result is 59.
\n" ); document.write( "Let the fraction be ab. Write down two equations satisfied by a and b:
\n" ); document.write( "(i)
\n" ); document.write( "(ii)
\n" ); document.write( "Find the fraction. ab \n" ); document.write( "

Algebra.Com's Answer #442989 by josgarithmetic(39838) $\"\"$ $\"About$

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Your assignment instruction for ab seems strange. Let me try n/d instead.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28n%2B1%29%2F%28d%2B1%29=35\"$ and $\"%28n-1%29%2F%28d-1%29=59\"$ .\r
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\n" ); document.write( "\n" ); document.write( "The +1 equation gives
\n" ); document.write( "n+1=35(d+1)
\n" ); document.write( "n+1=35d+35
\n" ); document.write( " $\"n-35d=34\"$ .\r
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\n" ); document.write( "\n" ); document.write( "The -1 equation gives
\n" ); document.write( "n-1=59(d-1)
\n" ); document.write( "n-1=59d-59
\n" ); document.write( " $\"n-59d=-60\"$ \r
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\n" ); document.write( "\n" ); document.write( "Subtracting the -60 equation from the +34 equation gives us:
\n" ); document.write( "(59-34)d=94
\n" ); document.write( "25d=94
\n" ); document.write( " $\"d=3.76\"$ and using in the +1 equation result gives $\"n=165.6\"$ \r
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\n" ); document.write( "\n" ); document.write( "Your fraction, as n/d, should be $\"165.6%2F3.76=44.0425532\"$ \n" ); document.write( "

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