Question

The world’s 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. pls just give me an algebraic expression!

Answer 1

Answer:

r = n + 35

r + n = 635

Step-by-step explanation:

We can give the height of the Rogun Dam r and the height of the Nurek Dam n. So, as you only asked for the algebraic expression, your answer is

r = n + 35

r + n = 635

there is actually not one algebraic expression, it is a system of 2 equations!

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Answer 2

Answer:

The height of the Nurek dam is 300 meters.

Step-by-step explanation:

Let's assume that the height of Rogun dam is x meters and that of the Nurek dam is y meters.

According to the problem:

$x + y = 635$ . . . . . . . . . . . . . . . . . equation (i)

$x - y = 35$  . . . . . . . . . . . . . . . . .  equation (ii)

Adding equation (i) and equation (ii):

$2x = 670$

∴ $x = \frac{670}{2} = 335$

Putting value of x into equation (i):

$y = 635 - 335 = 300$

The height of the Nurek dam is 300 meters.