Answer:
Height of Nurek dam = 300 m
Explanation:
Let the height of Rogun dam be a p and height of Nurek dam be q.
The Rogun dam is 35 meters taller than the Nurek dam
p = q + 35
p - q = 35 ------------------------Equation 1
Together they are 635 meters tall
p + q = 635 ------------------------Equation 2
Equation 1 + Equation 2,
2 p = 635 + 35
p = 670/2 = 335 m
Substituting in equation 2
335 + q = 635
q = 300 m
Height of Nurek dam = 300 m