in a rational no. twice the numerator is 2 more than the denominator. if 3 is added to each, the numerator or the denominator, the new fraction is 2/3. find the original no.

• let the rational no. be x/y.
  
  2x = 2+y------(given)
  
  again,
  (x+2)/(y+2) = 2/3-----(given)
  or, (x+2)/2x = 2/3
  or, x = 6.
  
  y= (2*6)- 2 = 10
  
  so, the original no. is 6/10 = 3/5
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