Question

there are some student in the two examination hall A and B to make the number of student equal in each hall 10 student are sent from A and B but if 20 student are sent from B to a the number of student in a become double the number of student in be find the number of student in the to Hall​

Answer 1

Answer:

a=100;b=80

Step-by-step explanation:

let

no of students in examination hall a be a and b be b then,

a-10=b+10

a-b=20

2(b-20)=a+20

by solving we get a=100,b=80

Answer 2

$\bf\huge\underline{Question}$

There are some student in the two examination hall A and B to make the number of student equal in each hall 10 student are sent from A and B but if 20 student are sent from B to a the number of student in a become double the number of student in be find the number of student in the to Hall.

$\bf\huge\underline{Answer}$

Let the number of students in halls A and B are x and y respectively.

Now, by given condition, x - 10 = y + 10

=> x - y = 20 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀...(i)

and (x + 20) = 2(y - 20)

=> x - 2y = -60 ⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀ ...(ii)

On subtracting eq. (ii) from eq.(i) we get

(x - y) - (x - 2y) = 20 + 60

x - y - x + 2y = 80 => y = 80

On putting y = 80 in eq. (i) we get

x - 80 = 20 => x = 100

Hence, 100 students are in hall A and 80 students are in hall B.