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If 50 is subtracted from two-third of number, the result is equal to sum of 40 and one-fourth of that number. What is the number ?

If 50 is subtracted from two-third of number, the result is equal to sum of 40 and one-fourth of that number. What is the number ? Correct Answer 216

Let the number be x
Then,
$$\eqalign{ & \Leftrightarrow \frac{2}{3}x - 50 = \frac{1}{4}x + 40 \cr & \Leftrightarrow \frac{2}{3}x - \frac{1}{4}x = 90 \cr & \Leftrightarrow \frac{{5x}}{{12}} = 90 \cr & \Leftrightarrow x = \left( {\frac{{90 \times 12}}{5}} \right) \cr & \Leftrightarrow x = 216 \cr} $$

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