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

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

Competitive Quantitative Aptitude Number system Numbers

Medium

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?

A
$375$
B
$75$
C
$25$
D
$225$

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What least number should be subtracted from $3401$ so that the result is completely divisible by $11$?

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$(\sqrt{4489}-\sqrt{2601})=(?)^{2}$

Easy

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$\left[ {8\left\{ {\left( {\frac{{21 \times \sqrt {\frac{9}{{441}}} }}{5} \text{ of } 60\% - \frac{1}{5}} \right) \times 625 + 7} \right\} \div 4} \right] = ?$

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The expression $\frac{8.25 \times 8.25 + 6.75 \times 6.75 - 2 \times 8.25 \times 6.75}{8.25 \times 8.25 - 6.75 \times 6.75}$ when simplified equals:

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The sum of two numbers is $25$ and their difference is $13$. Find their product.

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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?

Similar Questions

What least number should be subtracted from $3401$ so that the result is completely divisible by $11$?

$(\sqrt{4489}-\sqrt{2601})=(?)^{2}$

$\left[ {8\left\{ {\left( {\frac{{21 \times \sqrt {\frac{9}{{441}}} }}{5} \text{ of } 60\% - \frac{1}{5}} \right) \times 625 + 7} \right\} \div 4} \right] = ?$

The expression $\frac{8.25 \times 8.25 + 6.75 \times 6.75 - 2 \times 8.25 \times 6.75}{8.25 \times 8.25 - 6.75 \times 6.75}$ when simplified equals:

The sum of two numbers is $25$ and their difference is $13$. Find their product.

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