SOLUTION: The Eiffel Tower is 497 feet taller than the Washington Monument. If each of the monuments were 58 feet shorter, the Eiffel Tower would be twice as tall as the Washington Monument.

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Question 892415: The Eiffel Tower is 497 feet taller than the Washington Monument. If each of the monuments were 58 feet shorter, the Eiffel Tower would be twice as tall as the Washington Monument. How tall is each?
Answer by lwsshak3(11628) About Me  (Show Source):
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The Eiffel Tower is 497 feet taller than the Washington Monument. If each of the monuments were 58 feet shorter, the Eiffel Tower would be twice as tall as the Washington Monument. How tall is each?
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let x=height of Washington Monument
x+497=height of Eiffel Tower
..
x+497-58=2(x-58)
x+439=2x-116
x=439+116=555
x+497=1052
height of Washington Monument=555 ft
height of Eiffel Tower=1052 ft