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Question Number 24426 by dhandhaliyachandra@gmail.Com last updated on 17/Nov/17

$$\mathrm{A}\mathrm{number}\mathrm{is}\mathrm{multiplied}\mathrm{by}2\frac{1}{3}\mathrm{times}$$$$\mathrm{itself}\mathrm{and}\mathrm{then}61\mathrm{is}\mathrm{subtracted}\mathrm{from}$$$$\mathrm{the}\mathrm{product}\mathrm{obtained}.\mathrm{If}\mathrm{the}\mathrm{final}\mathrm{result}$$$$\mathrm{is}9200,\mathrm{then}\mathrm{the}\mathrm{number}\mathrm{is}$$

Answered by ajfour last updated on 17/Nov/17

$$\frac{7x^2}{3}-61=9200$$$$x^2=\frac{3}{7}\times 9261=3\times 1323$$$$x^2=3\times 3\times 441=3\times 3\times 21\times 21$$$$x=63.$$

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