A fraction has denominator $4$ more than numerator. Adding $3$ to both gives $\dfrac{2}{3}$. Original…

A fraction has denominator $4$ more than numerator. Adding $3$ to both gives $\dfrac{2}{3}$. Original numerator is
  1. $5$
  2. $3$
  3. $7$
  4. $9$

Solution

$\dfrac{x+3}{x+7} = \dfrac{2}{3} \Rightarrow 3x + 9 = 2x + 14 \Rightarrow x = 5$.

Asked in: IMO

Practice more LINEAR EQUATIONS IN ONE VARIABLE questions on Aicharya