there are 2 class room a and b if 10 students are sent from a and b the no. of students in each room becomes the same if 20 students are sent from b to a the no. of students in a becomes double the no. of students in b find the no. of students in each class room
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Step-by-step explanation:
Let the number of students in classroom A be x Let the number of students in classroom B be y. If 10 students are transferred from A to B, then we have: x – 10 = y + 10 ⇒x – y = 20 …..(i) If 20 students are transferred from B to A, then we have: 2(y – 20) = x + 20 ⇒2y – 40 = x + 20 ⇒ -x + 2y = 60 …..(ii) On adding (i) and (ii), we get: y = (20 + 60) = 80 On substituting y = 80 in (i), we get: x – 80 = 20 ⇒x = (20 + 80) = 100 Hence, the number of students in classroom A is 100 and the number of students in classroom B is 80.
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Let the number of students in classroom A be x
Let the number of students in classroom B be y.
If 10 students are transferred from A to B, then we have:
x – 10 = y + 10
⇒x – y = 20 …..(i)
If 20 students are transferred from B to A, then we have:
2(y – 20) = x + 20
⇒2y – 40 = x + 20
⇒ -x + 2y = 60 …..(ii)
On adding (i) and (ii), we get:
y = (20 + 60) = 80
On substituting y = 80 in (i), we get:
x – 80 = 20
⇒x = (20 + 80) = 100
Hence, the number of students in classroom A is 100 and the number of students in classroom B is 80.
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