Question 1180969
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when Mrs jones was older than 50 but younger than 80, she told a friend, 
"each of my sons has as many sons as brothers, and the number of my years 
is exactly that of the number of both my sons and grandsons."
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<pre>
Let n be the number of her sons.


Each of the sons has (n-1) brothers.


So, to answer the problem's question, we should solve this inequality


    50 < n*(n-1) + n < 80


or, equivalently,


    50 < n^2 < 80,


which gives a unique solution  n = 8.


So, her age is  n*(n-1) + n = n^2 = 8^2 = 64.    <U>ANSWER</U>
</pre>

Solved, answered, carefully explained and completed.