Question

# The denominator of a fraction is 1 more than twice its numerator. If the numerator and the denominator are both decreased by 1 then the number obtained is 1/3 Find the fraction.

Solution

## Let the numerator be x according to the first given condition the fraction will of the form x/(2x+1) according to the second given chance, x-1/2x =1/3 => 3x-3=2x => x=3 thus the required fraction is 3/(2*3 +1) =3/7

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