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?

Siddharth M • 1.75K Points
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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?

(A) 4 : 5 : 6
(B) 5 : 6 : 7
(C) 5 : 7 : 8
(D) 6 : 7 : 8

Correct Answer - Option(B)

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

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