The difference between one-fourth of a number | vedclass

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(C) Let the number be $x$.According to the problem,the difference between one-fourth of the number and one-seventh of the number is $24$.So,$\frac{x}{

Vedclass · Accepted Answer

$224$

Vedclass · Answer

(C) Let the number be $x$.According to the problem,the difference between one-fourth of the number and one-seventh of the number is $24$.So,$\frac{x}{4} - \frac{x}{7} = 24$.Taking the least common multiple $(LCM)$ of $4$ and $7$,which is $28$:$\frac{7x - 4x}{28} = 24$$\frac{3x}{28} = 24$$3x = 24 	imes 28$$x = 8 	imes 28$$x = 224$.Therefore,the number is $224$.

The difference between one-fourth of a number and one-seventh of the same number is $24$. What is the number?

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