Question

Sol. (2) Let the denominator be ( x )
Original fraction ( =frac{x-4}{x} )
In case II,
( 8(x-4-2)=x+1 )
( Rightarrow 8 x-48=x+1 )
( Rightarrow 7 x=49 Rightarrow x=7 )
( therefore ) Original fraction
( =frac{7-4}{7}=frac{3}{7} )

# Ex.2. The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the nu- merator. Find the fraction. SSC CGL (Tier-I) 2013 00100160

Solution