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2019 AIME Problems
1
Sum of digits
Sum of digits
Source: 2019 AIME I #1
March 14, 2019
AMC
AIME
AIME I
2019 AMC
2019 AIME I
Problem Statement
Consider the integer
N
=
9
+
99
+
999
+
9999
+
⋯
+
99
…
99
⏟
321 digits
.
N = 9 + 99 + 999 + 9999 + \cdots + \underbrace{99\ldots 99}_\text{321 digits}.
N
=
9
+
99
+
999
+
9999
+
⋯
+
321 digits
99
…
99
.
Find the sum of the digits of
N
N
N
.
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