Let boys = \\(b\\), girls = \\(g\\).
\\(\begin{aligned}
\text{Boys failed} &= 15\% \times b = 0.15b
\\
\text{Girls failed} &= 10\% \times g = 0.10g
\\
\text{Boys failed} &= 3 \times \text{Girls failed}
\\
0.15b &= 3 \times 0.10g = 0.30g
\\
b &= 2g
\\
\text{Total failed} &= 0.15b + 0.10g = 60
\\
0.15(2g) + 0.10g &= 60
\\
0.30g + 0.10g &= 60
\\
0.40g &= 60
\\
g &= 150, \quad b = 300
\end{aligned}\\)
Final Answer: Boys 300, Girls 150