Question

If $\frac{2}{x+10}=\frac{8}{x}$, then the value of x is

• A. $\frac{-40}{3}$
• B. 3
• C. -40
• D. $\frac{40}{3}$

Answer 1

The correct option is A $\frac{-40}{3}$

$\frac{2}{x+10}=\frac{8}{x}\Rightarrow 2x=8\times (x+10)\Rightarrow x=4\times (x+10)\Rightarrow x=4x+40\Rightarrow -40=4x-x\Rightarrow -40=3x\Rightarrow x=\frac{-40}{3}$