If $\frac{1}{6} t h$ of a number is subtracted from 290, the result is equal to 50% of the number. Find the number.___

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Solution

Let the number be x.

According to the statement,

$290 - \frac{x}{6} = \frac{x}{2}$

or $\frac{x}{2} + \frac{x}{6} = 290$

or $\frac{4 x}{6} = 290$

or x = 435.

Therefore, the number is 435.

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