Three-fifth of the square of a certain number is 126.15. What is the numbers ?

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Question

Three-fifth of the square of a certain number is 126.15. What is the numbers ?

Options:

A . 14.5

B . 75.69

C . 145

D . 210.25

Answer: Option A
$$\eqalign{
& {\text{Let the number be }}x \cr
& {\text{Then,}} \cr
& \Leftrightarrow \frac{3}{5}{x^2} = 126.15 \cr
& \Leftrightarrow {x^2} = \left( {126.15 \times \frac{5}{3}} \right) \cr
& \Leftrightarrow {x^2} = 210.25 \cr
& \Leftrightarrow x = \sqrt {210.25} \cr
& \Leftrightarrow x = 14.5 \cr} $$

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