MCQ
If $\frac{\text{x}}{2}-\frac{\text{x}}{3}=5,$ then $x =$
- A$8$
- B$16$
- C$24$
- ✓$30$
✓
Answer
Correct option: D.
$30$
As, $\frac{\text{x}}{2}-\frac{\text{x}}{3}=5$
$\Rightarrow\frac{3\text{x}}{6}-\frac{2\text{x}}{6}=5$
$\Rightarrow\frac{\text{3x}-2\text{x}}{6}=5$
$\Rightarrow\frac{\text{x}}{6}=5$
$\Rightarrow\text{x}=5\times6 ($By transposing $6$ to $\text{R.H.S.)}$
$\therefore\text{x}=30$
Hence, the correct alternative is option $(d).$
$\Rightarrow\frac{3\text{x}}{6}-\frac{2\text{x}}{6}=5$
$\Rightarrow\frac{\text{3x}-2\text{x}}{6}=5$
$\Rightarrow\frac{\text{x}}{6}=5$
$\Rightarrow\text{x}=5\times6 ($By transposing $6$ to $\text{R.H.S.)}$
$\therefore\text{x}=30$
Hence, the correct alternative is option $(d).$
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