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Linear Equations in One Variable — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSLinear Equations in One Variable1 Mark
MCQ
Tick $(\checkmark)$ the correct answer: If $\frac{\text{n}}{2}-\frac{3\text{n}}{4}+\frac{5\text{n}}{6}=21,$ then $​​\text{n}=?$
  • A
    $30$
  • B
    $42$
  • ✓
    $36$
  • D
    $28$
✓

Answer

Correct option: C.
$36$
$\frac{\text{n}}{2}-\frac{\text{3n}}{4}+\frac{5\text{n}}{6}=21$
$\Rightarrow\frac{ 6\text{n} - 9\text{n} + 10\text{n}}{12}= 21$
$\Rightarrow7\text{n}=21\times12$
$\Rightarrow7\text{n}=252$
$\Rightarrow\text{n}=\frac{252}{7}$
$\text{n}=36$

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