Filiz creates cup towers by placing identical cardboard cups inside each other. The distance between the bases of every two consecutive cups is equal in all the cup towers she creates. Then, she places these towers on a table and measures their heights. Filiz observes that the sum of the heights of two towers with 6 and 9 cups equals the height of the tower with 18 cups. Accordingly, to what height of a cup tower is the sum of the heights of two towers with 8 and 12 cups equal? A) 23 B) 24 C) 26 D) 27 E) 29
Filiz creates cup towers by placing identical cardboard cups inside each other. The distance between the bases of every two consecutive cups is equal in all the cup towers she creates. Then, she places these towers on a table and measures their heights.
Filiz observes that the sum of the heights of two towers with 6 and 9 cups equals the height of the tower with 18 cups.
Accordingly, to what height of a cup tower is the sum of the heights of two towers with 8 and 12 cups equal?
A) 23\\
B) 24\\
C) 26\\
D) 27\\
E) 29