The average of $x$ and $y$ is $20$. If the value of $x$ is doubled and that of $y$ is tripled, then the average of the two numbers remains the same. What is the value of $x$ ?

Question

$\begin{array}{1 1} (a)\; 70 \\ (b)\; 80 \\ (c)\; 100 \\ (d)\; 50 \end{array}$