Q. 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?
✅ Correct Answer: (B)
5 : 6 : 7
Explanation: 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
Explanation by: Siddharth M
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
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