Answer Key 7.10

\begin{array}{rrl} \text{2012 average age}&=&\phantom{-}\text{2016 average age} \\ \\ 10x&=&\phantom{-}9(x+4)+N \\ 10x&=&\phantom{-}9x+36+N \\ -9x&&-9x \\ \midrule x&=&\phantom{-}36+N \\ \\ x&=&\phantom{-}36+N \\ -36&&-36 \\ \midrule x-36&=&\phantom{-}N \end{array}

 

This means the new member is 36 years younger than the average age in 2012.

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