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The nurek dam is 300 meters tall.
300 + 335 = 635

The heights of both dams is an illustration of arithmetic operations.

Nurek's dam is 300 meters high.

From the question, we have:

\(\mathbf{Rogun = 35 + Nurek}\)

\(\mathbf{Rogun + Nurek= 635 }\)

Substitute \(\mathbf{Rogun = 35 + Nurek}\) in \(\mathbf{Rogun + Nurek= 635 }\)

\(\mathbf{35 + Nurek + Nurek = 635}\)

\(\mathbf{35 + 2Nurek = 635}\)

Subtract 35 from both sides

\(\mathbf{ 2Nurek = 600}\)

Divide both sides by 2

\(\mathbf{Nurek = 300}\)

Hence, the height of Nurek's dam is 300 meters.

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