Alice and Lynn are given a plastic frame that covers 9 squares of a table numbered 1 to 56. When Alice places the frame, the average of the 8 visible numbers is 12. Later, Lynn places the frame so the sum of the 8 visible numbers is 272. The question is to determine the largest of these 8 numbers.
![[object Object],© mathsheuristics Alice puts the frame on the 9 squares as shown in the figure. What is the average of the 8 numbers that can be seen in the frame? (a) Lynn puts the frame on some other 9 squares. The sum of the 8 squares that can be seen in the frame is 272. What is the largest number that can be seen in the frame? (b)](https://image.slidesharecdn.com/q9-100604232543-phpapp02/85/Q9-1-320.jpg)
![[object Object],© mathsheuristics Alice puts the frame on the 9 squares as shown in the figure. What is the average of the 8 numbers that can be seen in the frame? (a) (3+4+5+11+13+19+20+21) ÷ 8 = 12 1](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)