Answer
453.6k+ views
Hint: Always start by assigning x entities to one and according to that assign the next variable if they are related and if not assign another variable.
Let us assume the number of mangoes $A$ has is $x$,
And the number of mangoes $B$ has is $y$.
Therefore, if we look at the condition given in the question, for $A$,
$30 + x = 2\left( {y - 30} \right)$ …..(1)
And for B,
$10 + y = 3\left( {x - 10} \right)$ …..(2)
Note: Make sure the equations formed are correct and satisfy the question’s conditions.
On simplification of the above two equations, we get
$x - 2y + 90 = 0$ …..(3)
And the second equation becomes,
$ - 6x + 2y + 80 = 0$…..(4)
Let us add (3) and (4),
$ - 5x + 170 = 0$
From here, we get the value of $x = 34$
Therefore, $A$ has $34$ mangoes.
Now, let us put the value of $x$ in (1),
$34 - 2y + 90 = 0$
$2y = 124$
$y = 62$
Therefore, $B$ has $62$ mangoes.
Let us assume the number of mangoes $A$ has is $x$,
And the number of mangoes $B$ has is $y$.
Therefore, if we look at the condition given in the question, for $A$,
$30 + x = 2\left( {y - 30} \right)$ …..(1)
And for B,
$10 + y = 3\left( {x - 10} \right)$ …..(2)
Note: Make sure the equations formed are correct and satisfy the question’s conditions.
On simplification of the above two equations, we get
$x - 2y + 90 = 0$ …..(3)
And the second equation becomes,
$ - 6x + 2y + 80 = 0$…..(4)
Let us add (3) and (4),
$ - 5x + 170 = 0$
From here, we get the value of $x = 34$
Therefore, $A$ has $34$ mangoes.
Now, let us put the value of $x$ in (1),
$34 - 2y + 90 = 0$
$2y = 124$
$y = 62$
Therefore, $B$ has $62$ mangoes.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 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)
Give 10 examples for herbs , shrubs , climbers , creepers
![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)
Difference Between Plant Cell and Animal Cell
![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)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)