Question

For what value of $x$ is $\frac{(81x+175)}{512}$ divisible by $2$?

Answer 1

Calculate the value of $x$

We multiply $512$ with $2$ and equate it with the equation.

The equation is to be divisible by $2$ (given).

$512\times 2=1024$

so now let’s equate it with

$(81x+175)=1024$

$\Rightarrow$ $81x=1024-175$

$\Rightarrow$ $81x=849$

$\Rightarrow$ $x=\frac{849}{81}$

Hence, the value of $x$ for the required condition is $\frac{849}{81}$.