Question

From a group of boys and girls, $15$ girls leave. There are then left two boys for each girl. After this $45$ boys leave. There are then $5$ girls for each boy. The number of girls in the beginning was

• A. $40$
• B. $43$
• C. $29$
• D. $50$
• E. None of these

Answer 1

The correct option is A $40$

If $B$ is the original number of boys and $G$ the original number of girls, then
$\frac{B}{G-15}=2,\frac{B-45}{G-15}=\frac{1}{5}\therefore G=40$.