MCQ
The solution of the equation $\frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4}$ is
- ✓$2.7$
- B$1.8$
- C$2.9$
- D$1.7$
✓
Answer
Correct option: A.
$2.7$
The solution of the equation
$\frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4}$
$\Rightarrow \frac{x}{2}-\frac{x}{3}=\frac{1}{4}+\frac{1}{5}$
$\Rightarrow \frac{3-2}{6} x=\frac{5+4}{20}$
$ \Rightarrow \frac{1}{6} x=\frac{9}{20}$
$ x=\frac{9}{20} \times \frac{6}{1}=\frac{27}{10}=2.7 \quad$
$\frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4}$
$\Rightarrow \frac{x}{2}-\frac{x}{3}=\frac{1}{4}+\frac{1}{5}$
$\Rightarrow \frac{3-2}{6} x=\frac{5+4}{20}$
$ \Rightarrow \frac{1}{6} x=\frac{9}{20}$
$ x=\frac{9}{20} \times \frac{6}{1}=\frac{27}{10}=2.7 \quad$
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