Answer
397.5k+ views
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 \[\dfrac{x}{5} - 4 = 3\].
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 \[\dfrac{x}{5} - 4 = 3\].
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)