Quantity I Let the age of A and B three years ago be 2x and 3x respectively ⇒
(2x+6)
(3x+6)
= 4 / 5 ⇒ 10x + 30 = 12x + 24 ⇒ x = 3 Present age of A = 2x + 3 = 9 years Quantity II Let the present age of A and B be 4x and 5x years respectively ⇒ 5x – 4x = 5 ⇒ x = 5 Present age of B = 5 × 5 = 25 years ∴ Quantity I < Quantity II