Question

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. Determine the height of the Nurek dam.

Answer 1

Height of Nurek dam = 300 m

Step-by-step 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