1950 AHSME Problems/Problem 30
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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
Substituting for
, we get
See Also
1950 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 29 |
Followed by Problem 31 | |
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