Question

This is a wall clock. It falls down and breaks into exactly two pieces.
The addition of the numbers in the smaller piece is 31.
And the numbers in the bigger piece addup to 30.
How exactly did the wall clock break?
Remember there are only 2 pieces.

Answer 1

Hello Dear,

Solution :

Please look at the picture attatched for the possible break of that wall clock.

It breaks like that,so that 12 becomes 1 in one part and 2 in another

where as 8 becomes 0 in both parts as it breaks in between.

So sum of digits in one part:

2+1+2+3+4+5+6+7+0 = 30

in second part digits are: 0+9+10+11+1 = 31

Thus by this way this problem can solved.

Otherwise if the clock does not break in between the numbers then sum of all the digits of clock is 1+2+3+4+5+6+7+8+9+10+11+12= 78

Hope it helps you.

Thank you

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.