Six numbers

The average of 6 numbers is 3.95. the average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers?

Correct answer:

c =  4.6

Step-by-step explanation:

$$\begin{gathered} a=3.4 \\ b=3.85 \\ 2\cdot a+2\cdot b+2\cdot c=6\cdot 3.95 \\ 2\cdot 3.4+2\cdot 3.85+2\cdot c=6\cdot 3.95 \\ 2c=9.2 \\ c=\frac{9.2}{2}=4.6 \\ c=\frac{23}{5}=4.6 \end{gathered}$$

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