Let boys = \\(b\\), girls = \\(g\\).<br><br>\\(\begin{aligned}<br>\text{Boys passed} &= 0.75b<br>\\<br>\text{Girls passed} &= 0.80g \quad (20\% \text{ fail} \rightarrow 80\% \text{ pass})<br>\\<br>\text{Equal passes} &: 0.75b = 0.80g<br>\\<br>b &= \frac{0.80}{0.75}g = \frac{16}{15}g<br>\\<br>\text{Total passed} &= 240, \text{ so each} = 120<br>\\<br>0.75b = 120 &\Rightarrow b = 160<br>\\<br>0.80g = 120 &\Rightarrow g = 150<br>\\<br>\text{Total who took exam} &= 160 + 150 = 310<br>\end{aligned}\\)<br><br>Final Answer: Boys 160, Girls 150