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If one-seventh of a number exceeds its eleventh part by 100, then the number is :

Answer:

Explanation:

Let the number be $x$.
Then, $\frac{1}{7}x-\frac{1}{11}x=100$
$\Leftrightarrow \frac{4x}{77} = 100$
$\Leftrightarrow x = \frac{7700}{4}=1925$.