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  • There are some students in 2 examination halls - A , B. In order to make the students equal in each room, 20 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. Find the nu

There are some students in 2 examination halls - A , B. In order to make the students equal in each room, 20 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. Find the number of students in the TWO halls.

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eginarrayl extLet the number of students in hall A be x extand number of students in hall B be y.\ extIf 10 students are send fro hall A to B, \ extThen the number of students in hall A will be lessened by 10 and that of B will be increased by 10.\ extThe same will happen when 20 students are send from hall B to hall A.\ extTherefore, according to first case, we have\ x-10=y+10\ x=y+20.....(1)\ extBy second case, we have\ x+20=2(y-20)\ Rightarrow y=80\ extPutting y= ext80 in equation (1), we get\ x=80+20=100\ extSo, the number of students in hall A=100 and the number of students in hall B=80.endarray

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Deependra Verma

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