2. The average value of twelve numbers is 4.7. By adding two new numbers, the average value changes to 5.6. What is the average value of the two new numbers?
2. From the conditions of the problem, it is possible to write the equality $x_{1}+x_{2} \ldots+x_{12}=56.4$. ..... 2 POINTS
After adding two new numbers, the equality becomes $x_{1}+x_{2} \ldots+x_{12}+x_{13}+x_{14}=78.4$. ..... 2 POINTS
By subtracting the first equality from the second, we get $x_{13}+x_{14}=22$. ..... 1 POINT
The average value of the two numbers whose sum is 22 is $x_{\left(x_{13}+x_{14}\right)}=11$. ..... 1 POINT
TOTAL 6 POINTS