Question
Solve the following equations by trial and error method:
$\frac{\text{x}}{18}=20$
$\frac{\text{x}}{18}=20$
✓
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.
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.
| 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 |
Hence, x = 360 is the solution to this equation.
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