Question

The sum of the numerator and denominator of a fraction is 3 less than twice the denominator. If the numerator and denominator are decreased by 1 , the numerator becomes half the denominator. Determine the fraction.

Medium

Solution

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Let the numerator and the denominator
So, the fraction  
According to the question, 
Condition I:


(i)
Condition II:




On subtracting Eq.(i) from Eq. (ii), we get 


On putting the value of x in Eq. (i), we get 


So, the numerator is 4 and the denominator is 7 Hence, the fraction is 

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