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algebra senior

Problem

From a group of boys and girls, girls leave. There are then left two boys for each girl. After this boys leave. There are then girls for each boy. The number of girls in the beginning was:
(A)
(B)
(C)
(D)
Solution
Let us represent the number of boys , and the number of girls . From the first sentence, we get that . From the second sentence, we get . Expanding both equations and simplifying, we get and . Substituting for , we get . Solving for , we get .
Final answer
A