Statistics and Probability: JEE Main 2021 Mathematics question

An online exam is attempted by 50 candidates out of which 20 are boys. The average marks obtained by boys is 12 with a variance 2. The variance of marks obtained by 30 girls is also 2. The average marks of all 50 candidates is 15. If $\mu$ is the average marks of girls and $\sigma$² is the variance of marks of 50 candidates, then $\mu$ + $\sigma$² is equal to ________________.