Question

Solve the following equation and also verify your solution:
\[\frac{x}{2} + \frac{x}{3} + \frac{x}{4} = 13\]

Answer 1

\[\frac{x}{2} + \frac{x}{3} + \frac{x}{4} = 13\]
\[ \Rightarrow \frac{x \times 6 + x \times 4 + x \times 3}{12} = 13\]
\[ \Rightarrow \frac{13x}{12} = 13\]
\[ \Rightarrow x = 13 \times \frac{12}{13} = 12\]
\[\text{ Verification: }\]
\[L . H . S . = \frac{12}{2} + \frac{12}{3} + \frac{12}{4} = 6 + 4 + 3 = 13 = R . H . S .\]