When 20% of a number is added to another number the number increases by 50%. What is the respective ratio… · ABC26GN2923

Let the two numbers be $x$ and $y$. Then, $y+20\%$ of $x=150\%$ of $y \Rightarrow y+\frac{20}{100}x=\frac{150}{100}y \Rightarrow y+\frac{x}{5}=\frac{3}{2}y \Rightarrow \frac{y}{2}=\frac{x}{5} \Rightarrow \frac{x}{y}=\frac{5}{2} \Rightarrow x:y=5:2$. Hence, required ratio $=5:2$.