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# One-fifth of a number minus $4$ gives $3$.

Last updated date: 27th Feb 2024
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Hint: Here, we will assume the required number to be some variable. We will first find the one fifth of the number and then subtract 4 from it and then equate it to 3 to get a linear equation. We will solve the equation further to get the required answer. A linear equation is an equation which has the highest degree of 1 and has only one solution.

Complete step-by-step solution:
Let the unknown number be $x$.
According to the question, one fifth of $x$ minus four gives three.
This means that we first have to take the one fifth of the unknown number, which in turn means that we have to multiply it by $\dfrac{1}{5}$ or divide by $5$.
On dividing $x$ by five, we get $\dfrac{x}{5}$.
Now, four has to be subtracted from the one fifth of the unknown number. On subtracting four from $\dfrac{x}{5}$, we get $\left( {\dfrac{x}{5} - 4} \right)$.
We will now equate the above expression to 3, so that we can write the mathematical equation as:
$\dfrac{x}{5} - 4 = 3$
Adding $4$ on both the sides, we get
$\Rightarrow \dfrac{x}{5} = 7$
On multiplying both the sides by $5$, we get
$\Rightarrow x = 35$

Therefore, the value of the required number is 35.

Note:
While converting a statement into a mathematical expression, we have to take proper care of the BODMAS rule. We might misinterpret the given statement as one-fifth of the number obtained by subtracting four from the unknown number is equal to three, and generate the mathematical equation as $\dfrac{{x - 4}}{5} = 3$. Here comes the significance of the BODMAS rule according to which the division must be performed before the subtraction, and hence the equation is $\dfrac{x}{5} - 4 = 3$.