Question
Angel waterfall in Venezuela is 20 times as high as Niagara Falls. The difference between their heights is 950 meters. What is the height of each of the falls?
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Answered by
GPT-4o mini
Let the height of Niagara Falls be \( N \) meters. According to the problem, Angel Falls is 20 times higher than Niagara Falls. Therefore, the height of Angel Falls can be expressed as \( 20N \) meters.
We are also given that the difference in their heights is 950 meters:
\[
20N - N = 950
\]
This simplifies to:
\[
19N = 950
\]
Now, we can solve for \( N \) by dividing both sides by 19:
\[
N = \frac{950}{19} = 50
\]
Now that we have the height of Niagara Falls, we can find the height of Angel Falls:
\[
20N = 20 \times 50 = 1000
\]
Thus, the heights of the falls are:
- Height of Niagara Falls: \( 50 \) meters
- Height of Angel Falls: \( 1000 \) meters
We are also given that the difference in their heights is 950 meters:
\[
20N - N = 950
\]
This simplifies to:
\[
19N = 950
\]
Now, we can solve for \( N \) by dividing both sides by 19:
\[
N = \frac{950}{19} = 50
\]
Now that we have the height of Niagara Falls, we can find the height of Angel Falls:
\[
20N = 20 \times 50 = 1000
\]
Thus, the heights of the falls are:
- Height of Niagara Falls: \( 50 \) meters
- Height of Angel Falls: \( 1000 \) meters
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