$\begin{align}  & \overline{x}=\frac{\sum fx}{x} \\ & \frac{{{x}_{1}}+{{x}_{2}}+{{x}_{3}}+{{x}_{4}}+{{x}_{5}}+{{x}_{6}}}{6}=60\text{   }(\text{Mean of 6 numbers}=\overline{{{x}_{6}}}=60) \\ & \sum\limits_{i=1}^{6}{{{x}_{i}}}=360\text{  (Total sums of the 6 numbers}=6\times 60=360\text{)  } \\ & \frac{{{x}_{1}}+{{x}_{2}}+{{x}_{3}}+{{x}_{4}}+{{x}_{5}}}{5}=50\text{   }(\text{Mean of 5 numbers}=\overline{{{x}_{5}}}=50) \\ & \sum\limits_{i=1}^{5}{{{x}_{i}}}=250\text{  }(\text{Total sum of the 5 numbers }=5\times 50=250) \\ & \sum\limits_{i=1}^{5}{{{x}_{i}}}+{{x}_{6}}=360 \\ & {{x}_{6}}=360-250=110 \\\end{align}$