Answer
397.5k+ views
Hint: We are given a statement as ‘400 is reduced by 4 times my age is 80’. We have to solve this and find the age of the person. We will first let the age of the person as ‘x’ then we will change this statement into the algebraic expression. Once we get an algebraic expression we will learn about the degree and then find the exact solution to it.
Complete step by step answer:
We are given a statement as 400 reduces by 4 times my age is 80, we will start our solution by reducing this into algebraic expression.
To do so, we will understand that reduced mean difference, 4 times my age mean 4 multiplied by ‘m’ age and lastly it is used for ‘=’.
So, let the age of the person is ‘x’, then 400 reduced by 4 times my age is 80.
$\Rightarrow 400-4\times x=80$
So, we get equation as –
$400-40x=80$
So, as we can see that this equation has 1 variable and its helpful power is 1, so this equation can have at most 1 solution.
We will use algebra to solve.
We have $400-4x=80$
We subtract 400 on both sides –
So, $400-4x-400=80-400$
By simplifying, we get –
$-4x=-320$ (as $80-400=-320$ )
Now we divide both sides by -4.
So, $\dfrac{-4x}{-4}=\dfrac{-320}{-4}$
By simplifying, we get –
$x=80$
Hence the age of the person is $x=80$.
Note: Once we get the equation, we can also find the solution using the hit and trial method, in this way we put value of variable by assumption and check whether it is true or not, this way is little quick in simple equation for example $x+2=3$ but it gets difficult for the complex equations. We can also plot the graph and the point where it cuts the x-axis will be our solution.
Complete step by step answer:
We are given a statement as 400 reduces by 4 times my age is 80, we will start our solution by reducing this into algebraic expression.
To do so, we will understand that reduced mean difference, 4 times my age mean 4 multiplied by ‘m’ age and lastly it is used for ‘=’.
So, let the age of the person is ‘x’, then 400 reduced by 4 times my age is 80.
$\Rightarrow 400-4\times x=80$
So, we get equation as –
$400-40x=80$
So, as we can see that this equation has 1 variable and its helpful power is 1, so this equation can have at most 1 solution.
We will use algebra to solve.
We have $400-4x=80$
We subtract 400 on both sides –
So, $400-4x-400=80-400$
By simplifying, we get –
$-4x=-320$ (as $80-400=-320$ )
Now we divide both sides by -4.
So, $\dfrac{-4x}{-4}=\dfrac{-320}{-4}$
By simplifying, we get –
$x=80$
Hence the age of the person is $x=80$.
Note: Once we get the equation, we can also find the solution using the hit and trial method, in this way we put value of variable by assumption and check whether it is true or not, this way is little quick in simple equation for example $x+2=3$ but it gets difficult for the complex equations. We can also plot the graph and the point where it cuts the x-axis will be our solution.
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
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science 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)
Difference between Prokaryotic cell and Eukaryotic class 11 biology 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)
10 examples of evaporation in daily life with explanations
![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)
Give 10 examples for herbs , shrubs , climbers , creepers
![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)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)