Question

If $\frac{2}{3}$ is added to a number and the sum is multiplied by $2$, the answer is $\frac{16}{3}$. What is the number?

Answer 1

Let the number be $x$

Given that

$\Rightarrow (x+\frac{2}{3})\times 2=\frac{16}{3}$

$\Rightarrow x+\frac{2}{3}=\frac{8}{3}$

$\Rightarrow x=\frac{8}{3}-\frac{2}{3}$

$\Rightarrow x=\frac{6}{3}$

$\Rightarrow x=2$

Thus the number is $2$