Question

the number added to twice the rational number minus 9 by 5 to get 1 by 7 is options are 131/35,-5/126/-121/35,68/35​

Answer 1

$Let \: a \: number \: be\: \pink {x}$

$Given \: rational \: number = \frac{-9}{5}$

/*According to the problem given */

$x + 2\Big( \frac{-9}{5}\Big) = \frac{1}{7}$

$\implies x - \frac{18}{5} = \frac{1}{7}$

$\implies x =\frac{18}{5} + \frac{1}{7}$

$\implies x =\frac{18\times 7 + 5}{35}$

$\implies x =\frac{126 + 5}{35}$

$\implies x =\frac{131}{35}$

Therefore.,

$\red{ Required \: number } \green {= \frac{131}{35} }$

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