A4

Part of 2018 Canadian Senior Mathematics Contest

Problems(1)

CSMC 2018 Part A Problem 4

Source:

n

is a positive integer and that

a

is the integer equal to

\frac{10^{2n}-1}{3\left(10^n+1\right)}.

If the sum of the digits of

a

is 567, what is the value of

n