Question

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

11th - 12th Class

Maths

Solution

147

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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} )