MCQ
If $\frac{\text{x}}{3}+\frac{1}{3}=1,$ then $x = ?$
  • A
    $\frac{3}{4}$
  • $\frac{4}{3}$
  • C
    $-\frac{3}{4}$
  • D
    $\frac{-4}{3}$

Answer

Correct option: B.
$\frac{4}{3}$

$​​\frac{\text{x}}{2}+\frac{1}{3}=1$
$\Rightarrow\frac{\text{x}}{2}=1-\frac{1}{3}$
$\Rightarrow\frac{\text{x}}{2}=\frac{3\times1-1}{3}$
$\Rightarrow\frac{\text{x}}{2}=\frac{3-1}{3}$
$\Rightarrow\frac{\text{x}}{2}=\frac{2}{3}$
$\Rightarrow\frac{2\text{x}}{2}=\frac{2\times2}{3}$ (Multiplying both sides by $2)$
$\Rightarrow\text{x}=\frac{4}{3}$
Hence, the correct answer is option $(b).$

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