A , B
Number Theory
Level
3
Let A be the sum of digits of , and B the sum of the digits of A . Find the sum of the digits of B.
The answer is 7.
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1 solution
Let C be the answer
A < (1 + 4444 * log10(4444)) * 10 < 163000
B < 54
C < 13
then 4 4 4 4 4 4 4 4 mod 9 = 7 4 4 4 4 mod 9 = 7 4 mod 9 = 7
the only possibility: C = 7