Find a number,one-seventh of which exceeds it | vedclass

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Question

(A) Let the number be $x$.According to the problem,one-seventh of the number exceeds its eleventh part by $100$.$\Rightarrow \frac{1}{7}x - \frac{1}{1

Vedclass · Accepted Answer

$1925$

Vedclass · Answer

(A) Let the number be $x$.According to the problem,one-seventh of the number exceeds its eleventh part by $100$.$\Rightarrow \frac{1}{7}x - \frac{1}{11}x = 100$Taking the least common multiple $(LCM)$ of $7$ and $11$,which is $77$:$\Rightarrow \frac{11x - 7x}{77} = 100$$\Rightarrow \frac{4x}{77} = 100$$\Rightarrow 4x = 7700$$\Rightarrow x = \frac{7700}{4}$$\Rightarrow x = 1925$Thus,the required number is $1925$.

Find a number,one-seventh of which exceeds its eleventh part by $100$.

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