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Sujith looked at the six-digit number on his CAT admit card and said "If I multiply the first two digits with three, I get all ones. If I multiply the next two digits with six, I get all twos. If I multiply the last two digits $9$, I get all threes”. What is the sum of the digits of the number on Sujith's admit card?

- $30$
- $33$
- $60$
- $45$