I need help with this brain teaser , I have an assignment on this peace thing.?

Question

It looks like a Y with 3 circles going northwest then another 3 circlesgoing northeast then add 1 circle in the middle so it looks like a V at the botttom of the V draw 3 circles going down now the circles should look like a Y then write the numbers 1-10, ok now fill in the circles with the numbers so that they are even Instructions never use a number more than once, dont leave a circle blank,the total should be on the northwest side, northeast side and the south side the person who has the anwer will be awarded the people who tried will get 2 good luck!

Answer 1

Several solutions:

Put 10 in the middle; branches (1 5 9) (2 6 7) (3 4 8)

or

Put 7 in the middle; branches (1 6 9) (2 4 10) (3 5 8)

or

Put 4 in the middle; branches (1 7 9) (2 5 10) (3 6 8)

or

Put 1 in the middle; branches (2 6 10) (3 6 7) (4 5 9)

Since the total of 1-10 = 55,

which has remainder 1 when divided by 3,

the numbers 1,4,7, or 10 are the only ones

which can go in the middle, since they

also have remainder 1 divided by 3,

so the other 9 numbers can then be divided

into 3 equal groups.

.