The average age of Yogita, Kanika and Prachi is 14 years. The ratio of Yogita‘s age one year ago to Kanika‘s age one years hence to Prachi‘s age three years hence is 5 : 6 : 4. Find ratio of Yogita’s age two years hence to Prachi’s age.

Let current ages be Y, K, P. Average = 14, so Y + K + P = 42. Given ratio (Y-1) : (K+1) : (P+3) = 5 : 6 : 4. Let Y-1 = 5x, K+1 = 6x, P+3 = 4x. Then Y = 5x+1, K = 6x-1, P = 4x-3. Substituting: (5x+1) + (6x-1) + (4x-3) = 42, so 15x - 3 = 42, 15x = 45, x = 3. Ages: Y = 16, K = 17, P = 9. We need (Y+2) : P = 18 : 9 = 2 : 1. Option D is correct. The ratio calculation works out cleanly.