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.