What is the sum of the ages of Lucky and Shanti?

Statement I. The age of Lucky is 6 years more than the age of Shanti.

Statement II. 40% of the age of Shanti is equal to 30% of the age of Lucky.

Statement III. The ratio between half of the age of Lucky and one-third of the age of Shanti is 2 : 1.

1
Either statement I and II together or Statements I and III together is sufficient to answer the question.
2
The data in statement I alone or statements II and II together is sufficient to answer the question.
3
The data in statement I and II together are sufficient to answer the question.
4
The data in all the statements I, II, and III are not sufficient to answer the question.
5
The data in all statements I, II, and III together are necessary to answer the question.

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