There are some students in the two examination halls A and B. To make the number of students equal in each hall, 10 students are sent from A to B but,
if 20 students are sent from B to A, the number of students in A becomes double the number of students in B,
then find the number of students in the both halls.
Let the number of students in halls A and 8 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- 2 y) = 20+60 „ x-y-x + 2y~ 80 => y= 80
On putting y = 80 in Eq. (i), we get
x – 80 = 20 => x = 100 and y = 80
Hence, 100 students are in hall A and 80 students are in hall 8.
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