Question

a clock hanging on wall breaks into 2 pieces sum of small is 31

Answer 1

1,2,10,11

3,4,9,10

5,6,7,8

It is main part of the important numbers on the clock = 78 so if divided by 3 to get equal size pieces you get 26.

The  made of circles around numbers that added up due to smaller ones in order to get one 26 or other numbers will be too big.

Answer 2

The question clearly tells that the clock breaks into two pieces.

The sum of all the numbers in the first piece is 31.

The sum of all the numbers in the other piece is 30.

Explanation:  

The clock breaks between 12 and 8 separating the numbers 1 and 2 vertically from 12 and divides 8 into 0 and 0 horizontally.  

If that's the case,  

The numbers on the first piece are 0,9,10,11 and 1.

Their sum is 31.

The numbers on the second piece are 2,1,2,3,4,5,6,7.

Their sum is 30.  

Hence, the clock breaks vertically separating 1 and 2 from 12 and horizontally separating 8 into 0 and 0.

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