If the difference between a number and frac{3 | vedclass

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Question

(B) Let the number be $x$.According to the problem,the difference between the number $x$ and $\frac{3}{5}$ of the number is $30$.So,the equation is: $

Vedclass · Accepted Answer

$75$

Vedclass · Answer

(B) Let the number be $x$.According to the problem,the difference between the number $x$ and $\frac{3}{5}$ of the number is $30$.So,the equation is: $x - \frac{3}{5}x = 30$.To solve for $x$,find a common denominator: $\frac{5x - 3x}{5} = 30$.This simplifies to: $\frac{2x}{5} = 30$.Multiply both sides by $5$: $2x = 150$.Divide by $2$: $x = 75$.Therefore,the number is $75$.

If the difference between a number and $\frac{3}{5}$ of the same number is $30$,then find the number.

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