Question

The value of $d$ which satisfies the expression $\frac{4(d+3)-9}{8}=\frac{10-(2-d)}{6}$ is:

• A. $\frac{23}{16}$
• B. $\frac{23}{8}$
• C. $\frac{25}{8}$
• D. $\frac{25}{4}$

Answer 1

The correct option is B $\frac{23}{8}$

Given, $\frac{4(d+3)-9}{8}=\frac{10-(2-d)}{6}$.

Cross multiplying, we get,
$24(d+3)-54=80-8(2-d)$

$\Rightarrow 24d+72-54=80-16+8d$ ...[By Distribution Law]

$\Rightarrow 24d+18=64+8d$.

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

$\Rightarrow 24d-8d=64-18$

$\Rightarrow 16d=46$

$\Rightarrow d=\frac{23}{8}$.

Hence, option $B$ is correct.