Question

a rational number is such that when u muliplies it by 3/7 and subtract 4/7 from the product,you get -4/7.What is the number?

Answer 1

Solution :

$\bf{\red{\underline{\bf{Given\::}}}}$

A rational number is such that when you multiply it by 3/7 and subtract 4/7 from the product, you get -4/7.

$\bf{\red{\underline{\bf{To\:find\::}}}}$

The number.

$\bf{\red{\underline{\bf{Explanation\::}}}}$

Let the number be r

A/q

$\longrightarrow\rm{r\times \dfrac{3}{7} -\dfrac{4}{7} =-\dfrac{4}{7} }\\\\\\\longrightarrow\rm{\dfrac{3r}{7} -\dfrac{4}{7} =-\dfrac{4}{7} }\\\\\\\longrightarrow\rm{\dfrac{3r}{7} =-\dfrac{4}{7} +\dfrac{4}{7} }\\\\\\\longrightarrow\rm{\dfrac{3r}{7}=\dfrac{-4+4}{7} }\\\\\\\longrightarrow\rm{\dfrac{3r}{\cancel{7}} =\dfrac{0}{\cancel{7}}} \\\\\\\longrightarrow\rm{3r=0}\\\\\\\longrightarrow\rm{r=0/3}\\\\\\\longrightarrow\rm{\orange{r=0}}$

Thus;

The number is 0 .