Mathematics · Data Sufficiency

Each question consists of four statements numbered I, II, III, and IV. Decide which statement(s) alone is/are sufficient to answer the question: There are only three people in a family: father, mother, and a child. If the present ages of the father and mother are in the ratio 10 : 9 respectively, find the present age of the child. Statement I: Ten years hence, the age of the child will be 56% less than that of the father. Statement II: The present age of the child is 70% less than that of the father and 24 years less than that of the mother. Statement III: Six years ago, the age of the mother was 5 times the age of the child. Six years hence, the age of the father will be 28 years more than that of the child. Statement IV: The difference between the present ages of the mother and father is 4 years, and the difference between the present ages of the child and mother is 24 years.