Question
Solve the following equations by trial and error method: $\frac{\text{x}}{18}=20$
✓
Answer
$\frac{\text{x}}{18}=20$ Here, $\text{L.H.S.}=\frac{\text{x}}{18}$ and $R.H.S. = 20$.
Since $R.H.S.$ is a natural number, $\frac{\text{x}}{18}$ must also be a natural number,
so we must substitute values of $x$ that are multiples of $18$.
Therefore, if $x = 360, L.H.S. = R.H.S$. Hence, $x = 360$ is the solution to this equation.
Since $R.H.S.$ is a natural number, $\frac{\text{x}}{18}$ must also be a natural number,
so we must substitute values of $x$ that are multiples of $18$.
| X | L.H.S. | R.H.S. | Is L.H.S. = R.H.S. |
| $324$ | $\frac{324}{18}=18$ | $20$ | No |
| $342$ | $\frac{342}{18}=19$ | $20$ | No |
| $360$ | $\frac{360}{18}=20$ | $20$ | Yes |
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