Question

If $\frac{x-3}{4}=\frac{x-5}{7}$, what is the value of $x$?

• A. $\frac{1}{23}$
• B. $\frac{3}{23}$
• C. $\frac{1}{3}$
• D. $3$

Answer 1

Answer: (C)

$\frac{1}{3}$

Given, $\frac{x-3}{4}=\frac{x-5}{7}$

By cross multiplying, we get,

$\Rightarrow$ $7(x-3)=4(x-5)$

$\Rightarrow 7x-21=4x-20$ ...[By Distribution Law].

Transposing $x$ terms to one side, we get,

$\Rightarrow 7x-4x=-20+21$

$\Rightarrow 3x=1$

$\Rightarrow x=\frac{1}{3}$.

Hence, option $C$ is correct.