Question

If $\frac{a-8}{3}=\frac{a-3}{2}$, then the value of $a$ is:

• A. $-8$
• B. $-7$
• C. $-6$
• D. None of these

Answer 1

The correct option is B $-7$

Given, $\frac{a-8}{3}=\frac{a-3}{2}$.

Cross-multiplying the denominators, we get,

$\Rightarrow$ $2(a-8)=3(a-3)$

$\Rightarrow$ $2a-16=3a-9$ ...[By Distribution Law].

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

$\Rightarrow$ $2a-3a=-9+16$

$\Rightarrow$ $-a=7$

$\Rightarrow$ $a=-7$.

Therefore, option $B$ is correct.