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Question

A three-digit number has its first two digits equal. Find the maximum possible ratio of the number and the sum of its digits. If the number is not divisible by 10.
$52 \frac{2}{9}$
$52 \frac{4}{19}$
$52 \frac{3}{19}$
$52 \frac{5}{11}$

A

52 \frac{3}{19}

B

52 \frac{5}{11}

C

52 \frac{2}{9}

D

52 \frac{4}{19}

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