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Class 10 :-
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find the number OF students in two hallls
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hey there
refer to attachment
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SOLUTION❤✌
Let the numbers of students in hall A=x
& Numbers of students in hall B=y
1).When be sent 10 students from hall A to B:
Number of students left in hall A=x-10
& Number of students in hall b=y+10
In this case no. of students in each hall would be equal, we get:
⇒ x-10=y+10
⇒x-y=20--------------(1)
2).When 20 students are sent from B to A:
Number of students in hall A=x+20
& Number of students in hall B=y-20
In this case no. of students in hall A becomes double the no. of students in hall B, we get:
⇒x+20=2(y-20)
⇒x+20=2y-40
⇒x-2y=-60--------------(2)
by subtracting (2) from (1),we get:
⇒x-2y=-60
x-y= 20
- + -
____________
⇒-y=-80
⇒y=80
And,
⇒x-y=20
⇒x-80=20
⇒x=20+80
⇒x=100
So, there are 100 students in hall A and 80 students in hall B.
hope it helps✌
Mark brainliest⊕
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