easy one !!!!

Algebra Level 2

The Arithmetic Mean of \(n\) numbers \(a_{1},a_{2},\cdots,a_{n}\) is equivalent to

\[\frac{a_{1}+a_{2}+\cdots+a_{n}}{n},\]

while the Geometric Mean is equivalent to

\[(a_{1}a_{2}\cdots a_{n})^{\frac{1}{n}}.\]

Given that the AM and GM of two numbers are \(34\) and \(16\) respectively, find the sum of the two numbers.

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