In the arrangement below, each number is the non-negative difference of the two numbers above it to which it is attached. What is the sum of the four greatest distinct possible values for z?
I think the answer is 448. Can someone check for me?
I agree:
w can only be 6
x can be 22 or 34
x = 22: y can be 14 or 58 x = 34: y can be 2 or 70
y = 14: z can be 62 or 90 y = 58: z can be 18 or 134
y = 2: z can be 74 or 78 y = 70: z can be 6 or 146
Four greatest values of z are 78, 90, 134, 146
78+90+134+146 = 448
+382 
