Question

$\text{Solve for x:}$

$\frac{x}{c}+\frac{x}{d}=1$

• A. $\frac{(c+d)}{d}$
• B. $\frac{(c+d)}{cd}$
• C. $\frac{c}{c+d}$
• D. $\frac{cd}{c+d}$

Answer 1

The correct option is D $\frac{cd}{c+d}$

$\frac{x}{c}+\frac{x}{d}=1\Rightarrow \frac{dx+cx}{cd}=1\Rightarrow \frac{x(d+c)}{cd}=1\text{Transposing cd to the RHS, we get,}x(d+c)=cd\text{Transposing (d + c) to the RHS, we get,}x=\frac{cd}{c+d}$