A, B, C, D, E, F and G are cousins. D is thrice as old as A. Further, C is as many years younger to B, as G to E and E to D. The average age of D and G is 16 years; the average age of A and E is 11 years; the average age of B and C is also 11 years. B and C have equal weight. A's weight is 10 kg less than that of B; D is 4 kg heavier than E; E is 4 kg heavier than F; F is 4 kg heavier than G. Further, D has age-weight ratio of 9 : 20, where age is in years and weight in kg; A has age-weight ratio of 2 : 5. Moreover, none of them is more than 40 kg. What is the difference between the weights (in kg) of G and C?
- A4
- B3
- C2
- D1
Explanation
Using the ages above with the age–weight ratios: D's weight = (20/9)·18 = 40 kg and A's weight = (5/2)·6 = 15 kg. The weight chains give E = D − 4 = 36 kg, F = 32 kg, G = 28 kg, and B = C = A + 10 = 25 kg (all within the 40 kg limit). The difference between G's and C's weights is |28 − 25| = 3 kg, option (B).