The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What is the difference between the ages of Samir and Aseem. I. The ratio of their age 7 : 9. II. 5 year hence the sum of their ages will be 58 years.

Both statements together are sufficient, but neither alone is sufficient. Statement I gives the ratio of ages as 7:9, which alone is insufficient because we only know their relative ages, not actual values. Statement II gives that 5 years hence, their ages sum to 58, which alone is insufficient because we have one equation with two unknowns. Together: Let current ages be 7x and 9x. Then (7x+5)+(9x+5)=58, giving 16x+10=58, so 16x=48, x=3. Current ages are 21 and 27. The difference is 27-21=6 years. This is a classic age problem where ratio plus sum of ages (at same point in time) gives complete information.