SOLUTION: The Eiffel Tower is 497 feet taller than the washington monument. If each where 58 feet shorter, the eiffel tower would be twice as tall. how tall is each monument?

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Question 166899: The Eiffel Tower is 497 feet taller than the washington monument. If each where 58 feet shorter, the eiffel tower would be twice as tall. how tall is each monument?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
e= height of Eiffel tower
w= height of Washington Monument
(1)e+=+w+%2B+497
Subtract 58 ft from each
e+-+58
w+-+58
e+-+58+=+2%2A%28w+-+58%29
Substitute (1) in this equation
w+%2B+497+-+58+=+2%2A%28w+-+58%29
w+%2B+439+=+2w+-+116
w+=+555
e+=+w+%2B+497
e+=+1052
The Eiffle Tower is 1052' high
The Washington Monument is 555' high
check:
e+-+58+=+2%2A%28w+-+58%29
1052+-+58+=+2%2A%28555+-+58%29
994+=+2%2A497
994+=+994
OK