Question

A number added to its two-thirds is equal to $55$. Find the number.

Answer 1

Let the required number be $x$, then two-third of $x=\left(\frac{2}{3}\right)x$
According to given condition in the question:
$x+\frac{2x}{3}=55$
$\Rightarrow \frac{3x+2x}{3}=55$
$\Rightarrow \frac{5x}{3}=55$
$\Rightarrow x=55\times \frac{3}{5}$
$=11\times 3$
$\therefore x=33$
Hence, the required number is $33.$