CMAT 2014 Solved Question Paper

Question : 4 of 100

Marks: +1, -0

The ratio of the ages of the father and the daughter at present is 3 :1,4 yr ago, the ratio was 4 :1. The average age of the father and daughter 2 yr hence will be

24 yr
26 yr
25 yr
36 yr

Validate

Solution:

(b) Let the present age of father be 3xand daughter be x
So, 4 yr ago, father's age and daughter's age was (3x - 4) and (x - 4) respectively.
Therefore,

{3x - 4 }/{x-4} = 4/1

3x - 4 = 4x - 16 ⇒ x = 12 yr
∴ Daughter’s present age, x = 12 yr
and father's present age, 3x = 3 x 12 = 36 yr
∴ Present average age =

{36+12 }/2

= 24 yr
2 yr hence average age = 24 + 2 = 26

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