If a number is multiplied by frac{3}{5} of it | vedclass

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Question

(C) Let the number be $n$.According to the problem,$n 	imes \frac{3}{5}n = 12^{2} - 3^{2}$.This simplifies to $\frac{3}{5}n^{2} = (12 + 3)(12 - 3)$.$

Vedclass · Accepted Answer

$25$

Vedclass · Answer

(C) Let the number be $n$.According to the problem,$n 	imes \frac{3}{5}n = 12^{2} - 3^{2}$.This simplifies to $\frac{3}{5}n^{2} = (12 + 3)(12 - 3)$.$\frac{3}{5}n^{2} = 15 	imes 9$.$n^{2} = \frac{15 	imes 9 	imes 5}{3} = 5 	imes 9 	imes 5 = 225$.Taking the square root,$n = 15$.We need to find $\frac{5}{3}$ of that number,which is $\frac{5}{3} 	imes 15 = 5 	imes 5 = 25$.

If a number is multiplied by $\frac{3}{5}$ of itself,the value so obtained is $3^{2}$ less than $12^{2}$. What is $\frac{5}{3}$ of that number?

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