11-04-2018, 07:25 AM
Summation of the digits of a number is equivalent with taking the remainder while dividing by 9.
In mathematical terms, the number, and the sum of its digits are the same, modulo 9.
Example: 147 = 16 x 9 + 3, so the remainder is 3.
1+4+7= 12; 1+2 = 3.
When adding three series of numbers, of which one goes down by one (modulo 9) and the other two go up by one, the result is a series going up by one (always modulo 9).
Therefore, nothing surprising happened.
In mathematical terms, the number, and the sum of its digits are the same, modulo 9.
Example: 147 = 16 x 9 + 3, so the remainder is 3.
1+4+7= 12; 1+2 = 3.
When adding three series of numbers, of which one goes down by one (modulo 9) and the other two go up by one, the result is a series going up by one (always modulo 9).
Therefore, nothing surprising happened.
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