Question

Solve the following equation and also verify your solution:

\[\frac{x}{2} + \frac{x}{8} = \frac{1}{8}\]

Answer 1

\[\frac{x}{2} + \frac{x}{8} = \frac{1}{8}\]
\[\text{ or }\frac{4x + x}{8} = \frac{1}{8}\]
\[\text{ or }\frac{5x}{8} = \frac{1}{8}\]
\[\text{ or }x = \frac{1}{8} \times \frac{8}{5} = \frac{1}{5}\]
\[\text{ Verification: }\]
\[L . H . S . = \frac{1}{2} \times \frac{1}{5} + \frac{1}{8} \times \frac{1}{5} = \frac{1}{10} + \frac{1}{40} = \frac{5}{40} = \frac{1}{8} = R . H . S .\]