1950 AHSME Problems/Problem 30
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:
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 .
See Also
1950 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 29 |
Followed by Problem 31 | |
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