The respective ratio of the ages of Shami, Nammi and Pammi is 3 : 4 : 5. The sum of their ages is 48 years. What will be the respective ratio of their ages 8 years hence?

Let the present ages of Shami, Nammi and pammi are 3x, 4x and 5x years respectively; then, According to question, 3x + 4x + 5x = 48 ⇒ 12x = 48 ∴ x= 4 Hence, their present ages are 12, 16 and 20 years respectively. So, required ratio = (12 + 8) : (16 + 8) : (20 + 8) = 20 : 24 : 28 = 5 : 6 : 7