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  • The denominator of a fraction is one more than the numerator . when one is subtracted from the numerator, the fraction becomes 1/2 . find the fraction

The denominator of a fraction is one more than the numerator . when one is subtracted from the numerator, the fraction becomes 1/2 . find the fraction

Answers (1)

Let the numerator be x and the denominator be y

So, y=1+x as per question

Now, subtracting 1 from both numerator and denominator, we get

(x-1)/(y-1)=1/2

Or, 2x-2=y-1

Or, 2x-y=2-1

Or, 2x-y=1

Now substituting the value of y from the first eqn

2x-(1+x)=1

Or, 2x-1-x=1

Or, 2x-x=2

or, x=2

Again substituting the value of x in eqn 1

y=x+1

y= 2+1

y=3

Therefore the fraction is 2/3

 

Posted by

shubham.krishnan

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