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The sum of the numerator and denominator of a fraction is
$12$
. If the denominator is increased by
$3$
, the fraction becomes
$21β$
. Find the fraction.
A
$73β$
B
$72β$
C
$74β$
D
$75β$
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Solution
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Correct option is D)
Let the fraction =
$yxβ$
First condition :
$βx+y=12$
Second condition :
$βy+3xβ=21β$
$β2xβy=3$
Add two equations ;
$βx=5$
$βy=7$
$β$
fraction =
$75β$
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