Bunuel wrote:
honchos wrote:
The sum of the digits used to write the sum 10 + 11 + 12 + 13 is 10. What is the sum of the digits used to write the sum of the integers from 1 to 110, inclusive?
A.900
B.911
C.955
D.957
E.1001
A.900
B.911
C.955
D.957
E.1001
We need to find the sum of all digits used in the following expression: 1 + 2 + 3 + 4 + ... + 109 + 110.
Look at the sum from 1 to 99, inclusive:
01
02
03
...
98
99
Each digit above is used 10 times for units digits and 10 times for tens digits, so 20 times in total. Therefore the
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