• # question_answer When 50% of one number is added to a second number, the second number increases to its four-thirds, what is the ratio between the first number and the second number? A)  3 : 2                             B)  3 : 4                 C)  2 : 3                 D)         Data inadequate

Let the numbers be y and x, respectively. Then,                $x+50%$ of $y=\frac{4x}{3}$ $\Rightarrow$   $\frac{y}{2}=\frac{4x}{3}-x$ $\Rightarrow$   $\frac{y}{2}=\frac{x}{3}$ $\Rightarrow$   $\frac{y}{x}=\frac{2}{3}$ $\therefore$      $y:x=2:3$