Question

The numerator of a fraction is 2 less than the denominator. If 3 is added to both the numerator the fraction becomes 34. Find the fraction.​

Answer 1

Answer:

167/101

Step-by-step explanation:

Let the denominator of the fraction be 'x'.

The required fraction is (x-2)/x

To this fraction, if 3 is added to both numerator and denominator, the fraction is:

(x-2+3)/(x+3) = 34

(x+1)/(x+3)=34

x+1=(x+3)*34

x+1=34x+102

34x-x=1-102

33x=-101

x=-101/33

∴ The fraction is:

(-101/33)-2/-101/33

(-167/33) / (-101/33)

167/101 is the required fraction.