The worlds two highest dams are both in tajikistan. the rogun dam is 35 meters taller than the nurek dam. together they are 635 meters tall. find the height of the nurek dam.
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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