CMAT 2013 Solved Question Paper

Question : 10 of 100

Marks: +1, -0

The ages of Vinay, Varsha, Veera and Vikram are in the arithmetic progression but not in order. The ratio of ages of Vinay and Varsha is 6 : 5 and Veera is to Vikram is 7 : 8 . Two years later, the age ofVarsha and Vikram will be 2 : 3. Find the ratio of ages of Vinay and Veera.

7 : 6
5 : 8
6 : 7
8 : 9

Validate

Solution:

(c) Varsha : Vinay = 5 : 6 = 5 x : 6 x
Veera :Vikram = 7 :8 = 7y + 8y
But their ages are in AP.
Therefore, 6 x - 5 x = 8 y - 7 y ⇒ x = y
Again,

{5x+2}/{8y+2} = 2/3

⇒

{5x+2}/{8x+2} = 2/3

∴ x = 2
Therefore, the ages of Varsha, Vinay, Veera and Vikram are 10, 12, 14 and 16 yr, respectively.
Therefore, the ratio of ages of Vinay and Veera = 6 :7

Go to Question:

Prev Question

Next Question