-4 to 4 integers in a circle to obtain -10 to 10...HELP!!?

Question

Hey! I am stuck on this assignment! Any help would be appreciated!!

Ok so I have integers -4 to 4, set up in a round circle (ex: clock), and from the I have to obtain -10 to 10.. So for example, pretend i have a clock and it is from -4 to 4, now lets pretend i have 4 and 2 next to each other, so i get 6.
And say I have a 1 above the 4 so i have 1+4+2 which is 7, and I have 4+1 which is 5.

I tried, but there's always one number missing!! I AM BRAIN DEAD FROM THIS! HELP!!

THANK YOU!

Answer 1

To get "10" we need 1 + 2 + 3 + 4.
To get "-10" we need -1 + -2 + -3 + -4.

Finding 1, 2, 3, 4, -1, -2, -3, -4 are easy.
Lets arrange ( 1 2 3 4 ) to get as many combinations as we can.
( 1 3 4 2 ) => 1 + 3 + 4 + 2 = 10
( 1 3 4 2 ) => 3 + 4 + 2 = 9
( 1 3 4 2 ) => 1 + 3 + 4 = 8
( 1 3 4 2 ) => 3 + 4 = 7
( 1 3 4 2 ) => 4 + 2 = 6

( -1 -3 -4 -2 ) => -6, -7, -8, -9, -10

so all is left is 5, -5
look at
( 1 3 4 2 -1 -3 -4 -2 ) => 4 + 2 + -1 = 5
( 1 3 4 2 -1 -3 -4 -2 ) => -4 + -2 + 1 = -5

Done!

Answer 2

plz be a little more clearer.