NIMCET 2014 Question Paper with solutions

Question : 66 of 120

Marks: +1, -0

Father is aged three times more than the age of his son Rohit. After 8 yr, he would be two and a half times of Rohit’s age. After further 8 yr, how many times would he be of Rohit’s age?

2 times
3 times
2.5 times
3.5 times

Validate

Solution:

Let the present age of Rohit = x yr
and present age of Rohit's father = x + 3x = 4xyr
After 8 yr,Rohit’s age = x + 8yr
Rohit’s father's age = 4x + 8 yr
According to the question,
⇒

5/2

(x + 8) = 4x + 8
⇒

{5x}/2

+ 20 = 4x + 8
∴ x = 8
i.e, Rohit age after 8 yr = 16yr
Rohit’s father age after 8 yr = 40 yr
Now, after further 8 yr
Rohit age = 16 + 8 = 24 yr
Rohit's father = 40 + 8 = 48 yr
Hence, Rohit's father age will be two times of Rohit age.

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