Find the original numbers before the increase, then compute the overall percentage increase.
\\(\begin{aligned}
\text{Original boys} &= 121 \div 1.10 = 110
\\
\text{Original girls} &= 156 \div 1.04 = 150
\\
\text{Original total} &= 110 + 150 = 260
\\
\text{New total} &= 121 + 156 = 277
\\
\text{Increase} &= 277 - 260 = 17
\\
\text{Percentage increase} &= \frac{17}{260} \times 100\% = 6\frac{7}{13}\%
\end{aligned}\\)
Final Answer: \\(6\frac{7}{13}\%\\) (approximately 6.54%)