Question

If $(4x+5):(3x+11)=13:17$, find the value of $x$.

Answer 1

Given, $(4x+5):(3x+11)=13:17$

$\Rightarrow$ $\frac{4x+5}{3x+11}=\frac{13}{17}$

$\Rightarrow$ $68x+85=39x+143$…[Cross-multiplying the denominators].

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

$\Rightarrow$ $68x-39x=143-85$

$\Rightarrow$ $29x=58$

$\Rightarrow$ $x=\frac{58}{29}$

$\Rightarrow$ $x=2$.