Question 106136

Let x=height of Washington Monument: (x-58)----58 ft shorter

Then x+497=height of Eiffel Tower: ((x+497)-58)---------58 ft shorter

Now we are told that:

((x+497)-58)=2(x-58)  get rid of parens

x+497-58=2x-116 simplify
x+439=2x-116  add 116 to and subtract x from both sides

x-x+439+116=2x-x-116-116  collect like terms

555=x or
x=555 ft--------------------------height of Washington Monument
x+497=555+497=1052 ft---------- height of Eiffel Tower

CK

1052-58=2*(555-58)

994=2*497

994=994


Hope this helps-----ptaylor