Solve $\dfrac{x}{2} + 3 = \dfrac{x}{4} + 6$.

Solve $\dfrac{x}{2} + 3 = \dfrac{x}{4} + 6$.
  1. $12$
  2. $3$
  3. $6$
  4. $24$

Solution

$\dfrac{x}{2} - \dfrac{x}{4} = 3 \Rightarrow \dfrac{x}{4} = 3 \Rightarrow x = 12$.

Asked in: IMO

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