Question

Solve: $3+\frac{x}{4}=\frac{1}{2}(4-\frac{x}{3})-\frac{5}{6}+\frac{1}{3}(11-\frac{x}{2})$

• A. $x=\frac{22}{7}$
• B. $x=\frac{2}{7}$
• C. $x=\frac{22}{78}$
• D. None of these

Answer 1

The correct option is A $x=\frac{22}{7}$

$3+\frac{x}{4}=\frac{1}{2}(4-\frac{x}{3})-\frac{5}{6}+\frac{1}{3}(11-\frac{x}{2})$

$\Rightarrow 3+\frac{x}{4}=2-\frac{x}{6}-\frac{5}{6}+\frac{11}{3}-\frac{x}{6}$

$\Rightarrow \frac{x}{4}+\frac{x}{3}=\frac{22-5-6}{6}\Rightarrow \frac{7x}{12}=\frac{11}{6}$

$x=\frac{22}{7}$