$\dfrac{2}{3}$ of a number exceeds $\dfrac{1}{4}$ of it by $25$. The number is

$\dfrac{2}{3}$ of a number exceeds $\dfrac{1}{4}$ of it by $25$. The number is
  1. $60$
  2. $48$
  3. $24$
  4. $30$

Solution

$\dfrac{2x}{3} - \dfrac{x}{4} = 25 \Rightarrow \dfrac{5x}{12} = 25 \Rightarrow x = 60$.

Asked in: IMO

Practice more LINEAR EQUATIONS IN ONE VARIABLE questions on Aicharya