Question

If $14$ is taken away from one - fifth of a number, the result is $20$. The equation expressing this statement is:

• A. $\frac{x}{5}-14=20$
• B. $x-\left(\frac{14}{5}\right)=\left(\frac{20}{5}\right)$
• C. $x-14=\left(\frac{20}{5}\right)$
• D. $x+4\left(\frac{14}{5}\right)=20$

Answer 1

The correct option is A $\frac{x}{5}-14=20$

Let the number be $x$.

As per the question, we can write,

One- fifth of a number, i.e. $\frac{1}{5}x$.

Now $14$ is taken away from this means $14$ is subtracted i.e., $\frac{x}{5}-14$.

The result is equal to $20$.

Thus all this can be written as ,

$\frac{x}{5}-14=20$