Passage

Each question below contains a statement followed by Quantity I and Quantity II. Find both to find the relationship among them. Mark your answer accordingly.

Quantity I: Age of A five years ago if 6 years hence ratio of age of A to B will be 14 : 11, and 1 year ago the ratio was 7 : 5. Quantity II: Average age of 2 students included in a group of 5 students with average age 18 years given that addition of these 2 students in group makes average increase by 1.

Quantity I: Let A's and B's ages 6 years hence be 14x and 11x. Then current ages are 14x-6 and 11x-6. One year ago, their ages were 14x-7 and 11x-7. Ratio given as 7:5, so (14x-7)/(11x-7) = 7/5. Solving: 5(14x-7) = 7(11x-7) gives 70x-35 = 77x-49, so 7x = 14, x = 2. A's age 5 years ago = 14(2)-6-5 = 28-11 = 17 years. Quantity II: Original average = 18 for 5 students. Total = 90. After adding 2 students, average becomes 19 for 7 students. Total = 133. Sum of 2 new students = 133-90 = 43. Average of 2 students = 43/2 = 21.5 years. Quantity II (21.5) > Quantity I (17).