SOLUTION: The Eiffel Tower is 497 ft. taller than the Washington monument. If you take 58 ft. off both heights, the Eiffel Tower is twice as highas the Washington monument. How tall is eac

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Question 17097: The Eiffel Tower is 497 ft. taller than the Washington monument. If you take 58 ft. off both heights, the Eiffel Tower is twice as highas the Washington monument. How tall is each tower?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
The way this is set up, it looks like two equations and two unknowns.

Let W = height of Washington Monument
E = height of Eiffel Tower

E = W + 497
E-58 = 2(W-58)

Use the substitution method (or whatever method YOU like better!) Substitute the E from the first equation into the second equation:
E- 58 = 2(W-58)
(_____) - 58 = 2(W-58)
(W+497) - 58 = 2W - 116
W + 439= 2W - 116
W-W + 439 = 2W-W - 116
439= W-116
439+ 116 = W -116+116
W = 555 feet
T= W+497
T= 555 + 497 = 1052 feet

Check:E-58 = 2(W-58)
994 = 2(497)
994= 994
It checks!

R^2 at SCC